Updated on 2025/06/13

写真b

 
TADA,YUICHIRO
 
*Items subject to periodic update by Rikkyo University (The rest are reprinted from information registered on researchmap.)
Affiliation*
College of Science Department of Physics
Title*
Assistant Professor
Degree
Ph.D. ( University of Tokyo )
Campus Career*
  • 4 2025 - Present 
    College of Science   Department of Physics   Assistant Professor
 

Research Areas

  • Natural Science / Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics

Research History

  • 4 2025 - Present 
    Rikkyo University   Graduate School of Science   Assistant Professor

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    Country:Japan

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  • 4 2021 - 3 2025 
    Nagoya University   Institute for Advanced Research   Designated Assistant Professor

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    Country:Japan

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  • 4 2022 - 3 2023 
    High Energy Accelerator Research Organization   Institute of Particle and Nuclear Studies   Associate researcher

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    Country:Japan

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  • 4 2019 - 3 2021 
    Daido University   Lecturer (part-time)

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    Country:Japan

    Notes:Classical mechanics 1, 2

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  • 4 2018 - 3 2021 
    Nagoya University   Cosmology group   JSPS Fellow PD

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    Country:Japan

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  • 4 2017 - 3 2018 
    Institute d'Astrophysique de Paris   Dr. Sébastien Renaux-Petel's Group   PD researcher

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    Country:France

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  • 4 2015 - 3 2017 
    The University of Tokyo   Kavli IPMU, ICRR   JSPS Fellow DC2

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    Country:Japan

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  • 10 2012 - 3 2017 
    The University of Tokyo   Kavli IPMU, ICRR   ALPS Fellow

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    Country:Japan

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Education

  • 4 2014 - 3 2017 
    The University of Tokyo   Graduate School of Science

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    Country: Japan

    Notes: Ph.D.

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  • 4 2012 - 3 2014 
    The University of Tokyo   Graduate School of Science

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    Country: Japan

    Notes: M.Sc. in Physics

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  • 4 2008 - 3 2012 
    The University of Tokyo   Faculty of Science   Department of Physics

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    Country: Japan

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  • 4 2005 - 3 2008 
    Kaichi High School

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    Country: Japan

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Awards

  • 11 2024  
    The Physical Society of Japan  2025 Young Scientist Award of the Physical Society of Japan 
     
    Yuichiro Tada

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  • 11 2020  
    Online JGRG workshop 2020  Outstanding Presentation Award Gold Prize  Manifestly covariant theory of stochastic inflation

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  • EPL's Highlights 2020  Conformal inflation in the metric-affine geometry
     
    Yusuke Mikura, Yuichiro Tada, Shuichiro Yokoyama

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  • 2019-20 Highlights of Classical and Quantum Gravity  Inflationary stochastic anomalies
     
    Lucas Pinol, Sébastien Renaux-Petel, Yuichiro Tada

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Papers

  • Improved quantum algorithm for calculating eigenvalues of differential operators and its application to estimating the decay rate of the perturbation distribution tail in stochastic inflation

    Koichi Miyamoto, Yuichiro Tada

    Physical Review Research   11 6 2025

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1103/wpnm-rlrl

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  • Primordial black holes and induced gravitational waves from logarithmic non-Gaussianity

    Ryoto Inui, Cristian Joana, Hayato Motohashi, Shi Pi, Yuichiro Tada, Shuichiro Yokoyama

    Journal of Cosmology and Astroparticle Physics03   021 - 021   1 3 2025

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1088/1475-7516/2025/03/021

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  • Constant roll and non-Gaussian tail in light of logarithmic duality

    Ryoto Inui, Hayato Motohashi, Shi Pi, Yuichiro Tada, Shuichiro Yokoyama

    Journal of Cosmology and Astroparticle Physics02   042 - 042   1 2 2025

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1088/1475-7516/2025/02/042

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  • Towards a classification of UV completable Higgs inflation in metric-affine gravity

    Yusuke Mikura, Yuichiro Tada

    Journal of Cosmology and Astroparticle Physics02   044 - 044   1 2 2025

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1088/1475-7516/2025/02/044

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  • LISA forecast on a smooth crossover beyond the standard model through the scalar-induced gravitational waves

    Albert Escrivà, Ryoto Inui, Yuichiro Tada, Chul-Moon Yoo

    Physical Review D111 ( 2 ) 023528 - 023528   21 1 2025

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1103/PhysRevD.111.023528

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  • STOLAS: STOchastic LAttice Simulation of cosmic inflation

    Yurino Mizuguchi, Tomoaki Murata, Yuichiro Tada

    Journal of Cosmology and Astroparticle Physics12   050 - 050   1 12 2024

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1088/1475-7516/2024/12/050

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  • Primordial black holes and induced gravitational waves from a smooth crossover beyond standard model theories

    Albert Escrivà, Yuichiro Tada, Chul-Moon Yoo

    Physical Review D110 ( 6 ) 063521 - 063521   9 9 2024

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1103/PhysRevD.110.063521

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  • Multifield stochastic dynamics in GUT hybrid inflation without monopole problem and with gravitational wave signatures of GUT Higgs representation

    Yuichiro Tada, Masaki Yamada

    Physics Letters B   8 2024

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.physletb.2024.138854

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  • Quintessential interpretation of the evolving dark energy in light of DESI observations

    Yuichiro Tada, Takahiro Terada

    Physical Review D109 ( 12 )   24 6 2024

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1103/PhysRevD.109.L121305

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  • Prospects of detection of subsolar mass primordial black hole and white dwarf binary mergers

    Takahiro S. Yamamoto, Ryoto Inui, Yuichiro Tada, Shuichiro Yokoyama

    Physical Review D109 ( 10 ) 103514 - 103514   10 5 2024

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1103/PhysRevD.109.103514

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  • Cancellation of quantum corrections on the soft curvature perturbations

    Yuichiro Tada, Takahiro Terada, Junsei Tokuda

    Journal of High Energy Physics01   105 - 105   19 1 2024

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/JHEP01(2024)105

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  • Primordial black holes

    Albert Escrivà, Florian Kühnel, Yuichiro Tada

    Black Holes in the Era of Gravitational-Wave Astronomy   2024

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  • Translating nano-Hertz gravitational wave background into primordial perturbations taking account of the cosmological QCD phase transition

    Katsuya T. Abe, Yuichiro Tada

    Physical Review D108 ( 10 )   30 11 2023

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1103/PhysRevD.108.L101304

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  • Stochastic dynamics of multi-waterfall hybrid inflation and formation of primordial black holes

    Yuichiro Tada, Masaki Yamada

    Journal of Cosmology and Astroparticle Physics   1 11 2023

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    <jats:title>Abstract</jats:title>
    <jats:p>We show that a hybrid inflation model with multiple waterfall fields can result in the
    formation of primordial black holes (PBHs) with an astrophysical size, by using an advanced algorithm to follow the
    stochastic dynamics of the waterfall fields. This is in contrast to the case with a single
    waterfall field, where the wavelength of density perturbations is usually too short to form PBHs
    of the astrophysical scale (or otherwise PBHs are overproduced and the model is ruled out)
    unless the inflaton potential is tuned. In particular, we demonstrate that PBHs with masses of
    order 10<jats:sup>20</jats:sup> g can form after hybrid inflation consistently with other cosmological
    observations if the number of waterfall fields is about 5 for the case of instantaneous
    reheating. Observable gravitational waves are produced from the second-order effect of large
    curvature perturbations as well as from the dynamics of texture or global defects that form after
    the waterfall phase transition. </jats:p>

    DOI: 10.1088/1475-7516/2023/11/089

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  • Squeezed bispectrum and one-loop corrections in transient constant-roll inflation Peer-reviewed

    Hayato Motohashi, Yuichiro Tada

    Journal of Cosmology and Astroparticle Physics2023 ( 08 ) 069 - 069   1 8 2023

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    Publishing type:Research paper (scientific journal)   Publisher:IOP Publishing  

    Abstract

    In canonical single-field inflation, the production of primordial black holes (PBH) requires a transient violation of the slow-roll condition. The transient ultra slow-roll inflation is an example of such scenarios, and more generally, one can consider the transient constant-roll inflation. We investigate the squeezed bispectrum in the transient constant-roll inflation and find that Maldacena's consistency relation holds for a sufficiently long-wavelength mode, whereas it is violated for modes around the peak scale for the non-attractor case. We also demonstrate how the one-loop corrections are modified compared to the case of the transient ultra slow-roll inflation, focusing on representative one-loop terms originating from a time derivative of the second slow-roll parameter in the cubic action. We find that the perturbativity requirement on those terms does not rule out the production of PBH from the transient constant-roll inflation.Therefore, it is a simple counterexample of the recently claimed no-go theorem of PBH production from single-field inflation.

    DOI: 10.1088/1475-7516/2023/08/069

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    Other Link: https://iopscience.iop.org/article/10.1088/1475-7516/2023/08/069/pdf

  • Primordial black hole formation in hybrid inflation Peer-reviewed

    Yuichiro Tada, Masaki Yamada

    Physical Review D107 ( 12 )   30 6 2023

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    Publishing type:Research paper (scientific journal)   Publisher:American Physical Society (APS)  

    DOI: 10.1103/physrevd.107.123539

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    Other Link: http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevD.107.123539/fulltext

  • Primordial black holes and gravitational waves induced by exponential-tailed perturbations Peer-reviewed

    Katsuya T. Abe, Ryoto Inui, Yuichiro Tada, Shuichiro Yokoyama

    Journal of Cosmology and Astroparticle Physics2023 ( 05 ) 044 - 044   1 5 2023

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    Publishing type:Research paper (scientific journal)   Publisher:IOP Publishing  

    Abstract

    Primordial black holes (PBHs) whose massesare in ∼ [10<sup>-15</sup>M<sub>⊙</sub>,10<sup>-11</sup>M<sub>⊙</sub>]have been extensively studied as a candidate of whole dark matter (DM).One of the probes to test such a PBH-DM scenariois scalar-induced stochastic gravitational waves (GWs) accompanied with the enhanced primordial fluctuations to form the PBH with frequencypeaked in the mHz band being targeted by the LISA mission.In order to utilize the stochastic GW for checking the PBH-DM scenario, it needs to exactly relate the PBH abundance and the amplitude of the GW spectrum.Recently in Kitajima et al. [1],the impact of the non-Gaussianity of the enhanced primordial curvature perturbations on the PBH abundance has been investigated based on the peak theory,and they found that a specific non-Gaussian feature called the exponential tail significantly increases the PBH abundance compared with the Gaussian case.In this work, we investigate the spectrum of the induced stochastic GW associated with PBH DM in the exponential-tail case.In order to take into account the non-Gaussianity properly, we employ the diagrammatic approach for the calculation of the spectrum.We find that the amplitude of the stochastic GW spectrum is slightly lower than the one for the Gaussian case, but it can still be detectable with the LISA sensitivity.We also find that the non-Gaussian contribution can appear on the high-frequency side through their complicated momentum configurations.Although this feature emerges under the LISA sensitivity, it might be possible to obtain information about the non-Gaussianity from GW observation with a deeper sensitivity such as the DECIGO mission.

    DOI: 10.1088/1475-7516/2023/05/044

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    Other Link: https://iopscience.iop.org/article/10.1088/1475-7516/2023/05/044/pdf

  • Hybrid metric-Palatini Higgs inflation Peer-reviewed

    Minxi He, Yusuke Mikura, Yuichiro Tada

    Journal of Cosmology and Astroparticle Physics2023 ( 05 ) 047 - 047   1 5 2023

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    Publishing type:Research paper (scientific journal)   Publisher:IOP Publishing  

    Abstract

    We propose an extension of the Higgs inflation to the hybrid metric-Palatini gravity, where we introduce non-minimal couplings between Higgs and both the metric-type and the Palatini-type Ricci scalars. We study the inflationary phenomenology of our model and find that slow-roll inflation can be realized in the large-field regime, giving the observationally favored predictions. In particular, the scalar spectral index exhibits an attractor behavior to  n<sub>s</sub> ∼ 0.964, while the tensor-to-scalar ratio can take an arbitrary value depending on the non-minimal coupling parameters, with the metric-Higgs limit r ∼ 10<sup>-3</sup> being the maximum. We also investigate the unitarity property of our model. As the ultraviolet (UV) cutoff as a low-energy effective field theory (EFT) of this model is significantly lower than the Planck scale due to a strong curvature of field-space, we consider a possible candidate of UV-extended theories with an additional scalar field introduced so as to flatten the field-space in five-dimension. While the field-space can be flatten completely and this approach can lead to a weakly-coupled EFT, we gain an implication that Planck-scale EFT can be only realized in the limit of metric-Higgs inflation. We also discuss generalizations of the model up to mass-dimension four.

    DOI: 10.1088/1475-7516/2023/05/047

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    Other Link: https://iopscience.iop.org/article/10.1088/1475-7516/2023/05/047/pdf

  • Stochastic formalism for U(1) gauge fields in axion inflation Peer-reviewed

    Tomohiro Fujita, Kyohei Mukaida, Yuichiro Tada

    Journal of Cosmology and Astroparticle Physics2022 ( 12 ) 026 - 026   1 12 2022

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    Publishing type:Research paper (scientific journal)   Publisher:{IOP} Publishing  

    <jats:title>Abstract</jats:title>
    <jats:p>We develop the stochastic formalism for U(1) gauge fields that has the Chern-Simons coupling to a rolling pseudo-scalar field during inflation.
    The Langevin equations for the physical electromagnetic fields are derived and the analytic solutions are studied. Using numerical simulation we demonstrate that the electromagnetic fields averaged over the Hubble scale continuously change their direction and their amplitudes fluctuate around the analytically obtained expectation values.
    Though the isotropy is spontaneously broken by picking up a particular local Hubble patch, each Hubble patch is understood independent and the isotropy is conserved globally by
    averaging all the Hubble patches.</jats:p>

    DOI: 10.1088/1475-7516/2022/12/026

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  • Effective Inspiral Spin Distribution of Primordial Black Hole Binaries Peer-reviewed

    Yasutaka Koga, Tomohiro Harada, Yuichiro Tada, Shuichiro Yokoyama, Chul-Moon Yoo

    The Astrophysical Journal939 ( 2 ) 65 - 65   1 11 2022

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.3847/1538-4357/ac93f1

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  • Effective treatment of U(1) gauge field and charged particles in axion inflation Peer-reviewed

    Tomohiro Fujita, Jun'ya Kume, Kyohei Mukaida, Yuichiro Tada

    Journal of Cosmology and Astroparticle Physics2022 ( 09 ) 023 - 023   1 9 2022

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    Publishing type:Research paper (scientific journal)   Publisher:{IOP} Publishing  

    Abstract

    The axionic inflaton with the Chern-Simons coupling may generate U(1) gauge fields and charged particles simultaneously. In order to incorporate the backreaction from the charged particles on the gauge fields, we develop a procedure to obtain an equilibrium solution for the gauge fields by treating the induced current as effective electric and magnetic conductivities. Introducing mean field approximation, and numerically solving self-consistency equations, we find that the gauge field amplitudes are drastically suppressed. Interestingly, as the production becomes more efficient, the charged particles gain a larger part of the transferred energy from the inflaton and eventually dominate it. Our formalism offers a basis to connect this class of inflationary models to a rich phenomenology such as baryogenesis and magnetogenesis.

    DOI: 10.1088/1475-7516/2022/09/023

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    Other Link: https://iopscience.iop.org/article/10.1088/1475-7516/2022/09/023/pdf

  • On UV-completion of Palatini-Higgs inflation Peer-reviewed

    Yusuke Mikura, Yuichiro Tada

    Journal of Cosmology and Astroparticle Physics2022 ( 05 ) 035 - 035   1 5 2022

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    Publishing type:Research paper (scientific journal)   Publisher:{IOP} Publishing  

    <jats:title>Abstract</jats:title>
    <jats:p>We investigate the UV-completion of the Higgs inflation in
    the metric and the Palatini formalisms. It is known that the cutoff
    scales for the perturbative unitarity of these inflation models
    become much smaller than the Planck scale to be consistent with
    observations. Expecting that the low cutoff scales originate in the
    curvature of a field-space spanned by the Higgs fields, we consider
    embedding the curved field-space into a higher dimensional flat
    space and apply this procedure to the metric-Higgs and the
    Palatini-Higgs scenarios. The new field introduced in this way
    successfully flattens the field-space and UV-completes the Higgs
    inflation in the metric formalism. However, in the Palatini
    formalism, the new field cannot uplift the cutoff up to the Planck
    scale. We also discuss the unavoidable low cutoff in the Palatini
    formalism in the context of the local conformal symmetry. </jats:p>

    DOI: 10.1088/1475-7516/2022/05/035

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  • Simulation of primordial black holes with large negative non-Gaussianity Peer-reviewed

    Albert Escriv{\`{a, Yuichiro Tada, Shuichiro Yokoyama, Chul-Moon Yoo

    Journal of Cosmology and Astroparticle Physics2022 ( 05 ) 012 - 012   1 5 2022

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    Publishing type:Research paper (scientific journal)   Publisher:{IOP} Publishing  

    <jats:title>Abstract</jats:title>
    <jats:p>In this work, we have performed numerical simulations of
    primordial black hole (PBH) formation in the Friedman-Lemaître-Robertson-Walker universe filled by radiation fluid, introducing the local-type non-Gaussianity to the primordial curvature fluctuation.
    We have compared the numerical results from simulations with previous analytical estimations on the threshold value for PBH formation done in the previous paper [1], particularly for negative values of the non-linearity parameter <jats:italic>f</jats:italic>
    <jats:sub>NL</jats:sub>.
    Our numerical results show the existence of PBH formation of (the so-called) type I also in the case <jats:italic>f</jats:italic>
    <jats:sub>NL</jats:sub> ≲ -0.336, which was not found in the previous analytical expectations using the critical averaged compaction function.
    In particular, although the universal value for the averaged critical compaction function 𝒞̅<jats:sub>𝒸</jats:sub> = 2/5 found previously in the literature is not satisfied for all the profiles considered in this work, an alternative direct analytical estimate has been found to be roughly accurate to estimate the thresholds, which gives the value of the critical averaged density with a few % deviation from the numerical one for <jats:italic>f</jats:italic>
    <jats:sub>NL</jats:sub> ≳ -1.</jats:p>

    DOI: 10.1088/1475-7516/2022/05/012

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  • Statistics of coarse-grained cosmological fields in stochastic inflation Peer-reviewed

    Yuichiro Tada, Vincent Vennin

    Journal of Cosmology and Astroparticle Physics2022 ( 02 ) 021 - 021   1 2 2022

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    Publishing type:Research paper (scientific journal)   Publisher:{IOP} Publishing  

    <jats:title>Abstract</jats:title>
    <jats:p>We present a generic framework to compute the one-point
    statistics of cosmological perturbations, when coarse-grained at an
    arbitrary scale <jats:italic>R</jats:italic>, in the presence of quantum diffusion. Making
    use of the stochastic-δ <jats:italic>N</jats:italic> formalism, we show how it can be
    related to the statistics of the amount of expansion realised until
    the scale <jats:italic>R</jats:italic> crosses out the Hubble radius. This leads us to
    explicit formulae for the probability density function (PDF) of the
    curvature perturbation, the comoving density contrast, and the
    compaction function. We then apply our formalism to the calculation
    of the mass distribution of primordial black holes produced in a
    single-field model containing a “quantum well” (i.e. an exactly
    flat region in the potential). We confirm that the PDFs feature
    heavy, exponential tails, with an additional cubic suppression in
    the case of the curvature perturbation. The large-mass end of the
    mass distribution is shown to be mostly driven by
    stochastic-contamination effects, which produce black holes more
    massive than those naively expected. This work bridges the final gap
    between the stochastic-inflation formalism and the calculation of
    the mass distribution of astrophysical objects such as primordial
    black holes, and opens up various prospects that we finally discuss.</jats:p>

    DOI: 10.1088/1475-7516/2022/02/021

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    Other Link: http://arxiv.org/pdf/2111.15280v2

  • Primordial black holes in peak theory with a non-Gaussian tail

    Naoya Kitajima, Yuichiro Tada, Shuichiro Yokoyama, Chul-Moon Yoo

    Journal of Cosmology and Astroparticle Physics2021 ( 10 ) 053 - 053   1 10 2021

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    Publishing type:Research paper (scientific journal)   Publisher:IOP Publishing  

    DOI: 10.1088/1475-7516/2021/10/053

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    Other Link: https://iopscience.iop.org/article/10.1088/1475-7516/2021/10/053/pdf

  • Induced gravitational waves as a cosmological probe of the sound speed during the QCD phase transition

    Katsuya T. Abe, Yuichiro Tada, Ikumi Ueda

    Journal of Cosmology and Astroparticle Physics2021 ( 06 ) 048 - 048   1 6 2021

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    Publishing type:Research paper (scientific journal)   Publisher:IOP Publishing  

    Abstract

    The standard model of particle physics is known to be intriguingly successful. However, their rich phenomena represented by the phase transitions (PTs) have not been completely understood yet, including the possibility of the existence of unknown dark sectors. In this paper, we investigate the measurement of the equation of state parameter w and the sound speed of the PT plasmawith the use ofthe gravitational waves (GWs) of the universe. Though the propagation of GW is insensitive to in itself, the sound speed value affects the dynamics of primordial density (or scalar curvature) perturbations, and the induced GW by their horizon reentry can then be an indirect probe both w and . We numerically reveal the concrete spectrum of the predicted induced GW with two simple examples of the scalar perturbation spectrum: the monochromatic and scale-invariant spectra. In the monochromatic case, we see that the resonant amplification and cancellation scales of the induced GW depend on the values at different times respectively. The scale-invariant case gives a more realistic spectrum and its specific shape will be compared with observations. In particular, the QCD phase transition corresponds with the frequency range of the pulsar timing array (PTA) observations. If the amplitude of primordial scalar power is in the range of 10<sup>-4</sup> ≲ A<sub>ζ</sub> ≲ 10<sup>-2</sup>, the induced GW is consistent with current observational constraints and detectable in the future observation in Square Kilometer Array. Furthermore, the recent possible detection of stochastic GWs by NANOGrav 12.5 yr analysis [1] can be explained by the induced GW if A<sub>ζ</sub> ∼ √(7) × 10<sup>-3</sup>.

    DOI: 10.1088/1475-7516/2021/06/048

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    Other Link: https://iopscience.iop.org/article/10.1088/1475-7516/2021/06/048/pdf

  • Minimal k-inflation in light of the conformal metric-affine geometry

    Yusuke Mikura, Yuichiro Tada, Shuichiro Yokoyama

    Physical Review D103 ( 10 )   28 5 2021

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    Publishing type:Research paper (scientific journal)   Publisher:American Physical Society (APS)  

    DOI: 10.1103/physrevd.103.l101303

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    Other Link: http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevD.103.L101303/fulltext

  • Revisiting non-Gaussianity in non-attractor inflation models in the light of the cosmological soft theorem

    Teruaki Suyama, Yuichiro Tada, Masahide Yamaguchi

    Progress of Theoretical and Experimental Physics   21 5 2021

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    Publishing type:Research paper (scientific journal)   Publisher:Oxford University Press (OUP)  

    Abstract

    We revisit the squeezed-limit non-Gaussianity in the single-field non-attractor inflation models from the viewpoint of the cosmological soft theorem. In the single-field attractor models, inflaton’s trajectories with different initial conditions effectively converge into a single trajectory in the phase space, and hence there is only one clock degree of freedom (DoF) in the scalar part. Its long-wavelength perturbations can be absorbed into the local coordinate renormalization and lead to the so-called consistency relation between n- and (n + 1)-point functions. On the other hand, if the inflaton dynamics deviates from the attractor behavior, its long-wavelength perturbations cannot necessarily be absorbed and the consistency relation is expected not to hold any longer. In this work, we derive a formula for the squeezed bispectrum including the explicit correction to the consistency relation, as a proof of its violation in the non-attractor cases. First one must recall that non-attractor inflation needs to be followed by attractor inflation in a realistic case. Then, even if a specific non-attractor phase is effectively governed by a single DoF of phase space (represented by the exact ultra-slow-roll limit) and followed by a single-DoF attractor phase, its transition phase necessarily involves two DoF in dynamics and hence its long-wavelength perturbations cannot be absorbed into the local coordinate renormalization. Thus, it can affect local physics, even taking account of the so-called local observer effect, as shown by the fact that the bispectrum in the squeezed limit can go beyond the consistency relation. More concretely, the observed squeezed bispectrum does not vanish in general for long-wavelength perturbations exiting the horizon during a non-attractor phase.

    DOI: 10.1093/ptep/ptab063

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  • A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation

    Lucas Pinol, Sébastien Renaux-Petel, Yuichiro Tada

    Journal of Cosmology and Astroparticle Physics2021 ( 04 ) 048 - 048   1 4 2021

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    Publishing type:Research paper (scientific journal)   Publisher:IOP Publishing  

    Abstract

    Stochastic inflation is an effective theory describing the super-Hubble, coarse-grained, scalar fields driving inflation, by a set of Langevin equations. We previously highlighted the difficulty of deriving a theory of stochastic inflation that is invariant under field redefinitions, and the link with the ambiguity of discretisation schemes defining stochastic differential equations. In this paper, we solve the issue of these "inflationary stochastic anomalies" by using the Stratonovich discretisation satisfying general covariance, and identifying that the quantum nature of the fluctuating fields entails the existence of a preferred frame defining independent stochastic noises. Moreover, we derive physically equivalent Itô-Langevin equations that are manifestly covariant and well suited for numerical computations. These equations are formulated in the general context of multifield inflation with curved field space, taking into account the coupling to gravity as well as the full phase space in the Hamiltonian language, but this resolution is also relevant in simpler single-field setups. We also develop a path-integral derivation of these equations, which solves conceptual issues of the heuristic approach made at the level of the classical equations of motion, and allows in principle to compute corrections to the stochastic formalism. Using the Schwinger-Keldysh formalism, we integrate out small-scale fluctuations, derive the influence action that describes their effects on the coarse-grained fields, and show how the resulting coarse-grained effective Hamiltonian action can be interpreted to derive Langevin equations with manifestly real noises. Although the corresponding dynamics is not rigorously Markovian, we show the covariant, phase-space Fokker-Planck equation for the Probability Density Function of fields and momenta when the Markovian approximation is relevant, and we give analytical approximations for the noises' amplitudes in multifield scenarios.

    DOI: 10.1088/1475-7516/2021/04/048

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    Other Link: https://iopscience.iop.org/article/10.1088/1475-7516/2021/04/048/pdf

  • Local observer effect on the cosmological soft theorem

    Teruaki Suyama, Yuichiro Tada, Masahide Yamaguchi

    Progress of Theoretical and Experimental Physics2020 ( 11 )   13 11 2020

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    Publishing type:Research paper (scientific journal)   Publisher:Oxford University Press (OUP)  

    Abstract

    Non-Gaussianities of primordial perturbations in the soft limit provide important information about the light degrees of freedom during inflation. The soft modes of the curvature perturbations, unobservable for a local observer, act to rescale the spatial coordinates. We determine how the trispectrum in the collapsed limit is shifted by the rescaling due to the soft modes. We find that the form of the inequality between the $f_\mathrm{NL}$ and $\tau_\mathrm{NL}$ parameters is not affected by the rescaling, demonstrating that the role of the inequality as an indicator of the light degrees of freedom remains intact. We also comment on the local observer effect on the consistency relation for ultra-slow-roll inflation.

    DOI: 10.1093/ptep/ptaa144

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    Other Link: http://academic.oup.com/ptep/article-pdf/2020/11/113E01/34299933/ptaa144.pdf

  • Conformal inflation in the metric-affine geometry Peer-reviewed

    Y. Mikura, Y. Tada, S. Yokoyama

    EPL (Europhysics Letters)132 ( 3 ) 39001 - 39001   1 11 2020

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    Publishing type:Research paper (scientific journal)   Publisher:IOP Publishing  

    Systematic understanding for classes of inflationary models is investigated from the viewpoint of the local conformal symmetry and the slightly broken global symmetry in the framework of the metric-affine geometry. In the metric-affine geometry, which is a generalisation of the Riemannian one adopted in the ordinary General Relativity, the affine connection is an independent variable of the metric rather than given e.g. by the Levi-Civita connection as its function. Thanks to this independency, the metric-affine geometry can preserve the local conformal symmetry in each term of the Lagrangian contrary to the Riemannian geometry, and then the local conformal invariance can be compatible with much more kinds of global symmetries. As simple examples, we consider the two-scalar models with the broken $\mathrm{SO}(1,1)$ or $\mathrm{O}(2)$, leading to the well-known $\alpha$-attractor or natural inflation, respectively. The inflaton can be understood as their pseudo Nambu-Goldstone boson.

    DOI: 10.1209/0295-5075/132/39001

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    Other Link: https://iopscience.iop.org/article/10.1209/0295-5075/132/39001/pdf

  • Escape from the swampland with a spectator field Peer-reviewed

    Kazuhiro Kogai, Yuichiro Tada

    Physical Review D   12 5 2020

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    Publishing type:Research paper (scientific journal)  

    In the context of string theory, several conjectural conditions have been proposed for low energy effective field theories not to be in swampland, the UV-incomplete class. The recent ones represented by the de Sitter and trans-Planckian censorship conjectures in particular seem to conflict with the inflation paradigm of the early universe. We first point out that scenarios where inflation is repeated several times (multi-phase inflation) can be easily compatible with these conjectures. In other words, we relax the constraint on the single inflation for the large scale perturbations to only continue at least around 10 e-folds. In this context, we then investigate if a spectator field can be a source of the almost scale-invariant primordial perturbations on the large scale. As a consequence of such an isocurvature contribution, the resultant perturbations exhibit the non-vanishing non-Gaussianity in general. Also the perturbation amplitude on smaller scales can be completely different from that on the large scale due to the multiplicity of inflationary phases. These signatures will be a smoking gun of this scenario by the future observations.

    DOI: 10.1103/PhysRevD.101.103514

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    Other Link: http://arxiv.org/pdf/2003.06753v2

  • Stochastic inflation with an extremely large number of e-folds Peer-reviewed

    Naoya Kitajima, Yuichiro Tada, Fuminobu Takahashi

    Physics Letters B   1 2020

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    Language:English   Publishing type:Research paper (scientific journal)  

    We propose a class of single-field, slow-roll inflation models in which a
    typical number of $e$-folds can be extremely large. The key point is to
    introduce a very shallow local minimum near the top of the potential in a
    hilltop inflation model. In particular, a typical number of $e$-folds is
    enhanced if classical behavior dominates around the local minimum such that the
    inflaton probability distribution is drifted to the local minimum as a whole.
    After the inflaton escapes from the local minimum due to the stochastic
    dynamics, the ordinary slow-roll inflation follows and it can generate the
    primordial density perturbation consistent with observation. Interestingly, our
    scenario inherits the advantages of the old and new inflation: the typical
    $e$-folds can be extremely large as in the old inflation, and slow-roll
    inflation naturally follows after the stochastic regime as in the new
    inflation. In our numerical example, the typical number of $e$-folds can be as
    large as $10^{10^{10 } }$, which is large enough for various light scalars such
    the QCD axion to reach the Bunch-Davies distribution.

    DOI: 10.1016/j.physletb.2019.135097

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    Other Link: http://arxiv.org/pdf/1908.08694v2

  • Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes Peer-reviewed

    Yuichiro Tada, Shuichiro Yokoyama

    Physical Review D100 ( 2 )   24 7 2019

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    Publishing type:Research paper (scientific journal)   Publisher:American Physical Society ({APS})  

    We investigate a possibility of primordial black hole (PBH) formation with a hierarchical mass spectrum in multiple phases of inflation. As an example, we find that one can simultaneously realize a mass spectrum which has recently attracted a lot of attention: stellar-mass PBHs ($\sim\mathcal{O}(10)M_\odot$) as a possible source of binary black holes detected by LIGO/Virgo collaboration, asteroid-mass ($\sim\mathcal{O}(10^{-12})M_\odot$) as a main component of dark matter, and earth-mass ($\sim\mathcal{O}(10^{-5})M_\odot$) as a source of ultrashort-timescale events in Optical Gravitational Lensing Experiment microlensing data. The recent refined de Sitter swampland conjecture may support such a multi-phase inflationary scenario with hierarchical mass PBHs as a transition signal of each inflationary phase.

    DOI: 10.1103/PhysRevD.100.023537

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    Other Link: http://arxiv.org/pdf/1904.10298v2

  • Inflationary stochastic anomalies Peer-reviewed

    Lucas Pinol, Sébastien Renaux-Petel, Yuichiro Tada

    Class. Quant. Grav.   26 6 2018

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    Publishing type:Research paper (scientific journal)  

    The stochastic approach aims at describing the long-wavelength part of quantum fields during inflation by a classical stochastic theory. It is usually formulated in terms of Langevin equations, giving rise to a Fokker-Planck equation for the probability distribution function of the fields, and possibly their momenta. The link between these two descriptions is ambiguous in general, as it depends on an implicit discretisation procedure, the two prominent ones being the It\^o and Stratonovich prescriptions. Here we show that the requirement of general covariance under field redefinitions is verified only in the latter case, however at the expense of introducing spurious `frame' dependences. This stochastic anomaly disappears when there is only one source of stochasticity, like in slow-roll single-field inflation, but manifests itself when taking into account the full phase space, or in the presence of multiple fields. Despite these difficulties, we use physical arguments to write down a covariant Fokker-Planck equation that describes the diffusion of light scalar fields in non-linear sigma models in the overdamped limit. We apply it to test scalar fields in de Sitter space and show that some statistical properties of a class of two-field models with derivative interactions can be reproduced by using a correspondence with a single-field model endowed with an effective potential. We also present explicit results in a simple extension of the single-field $\lambda \phi^4$ theory to a hyperbolic field space geometry. The difficulties we describe seem to be the stochastic counterparts of the notoriously difficult problem of maintaining general covariance in quantum theories, and the related choices of operator ordering and path-integral constructions. Our work thus opens new avenues of research at the crossroad between cosmology, statistical physics, and quantum field theory.

    DOI: 10.1088/1361-6382/ab097f

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    Other Link: http://arxiv.org/pdf/1806.10126v2

  • Does the detection of primordial gravitational waves exclude low energy inflation? Peer-reviewed

    Tomohiro Fujita, Ryo Namba, Yuichiro Tada

    Physics Letters B778   17 - 21   3 2018

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  • Squeezed bispectrum in the $δ N$ formalism: local observer effect in field space Peer-reviewed

    Tada, Yuichiro, Vennin, Vincent

    JCAP1702 ( 02 ) 021 - 021   2017

  • Inflationary primordial black holes for the LIGO gravitational wave events and pulsar timing array experiments Peer-reviewed

    Inomata, Keisuke, Kawasaki, Masahiro, Mukaida, Kyohei, Tada, Yuichiro, Yanagida, Tsutomu T.

    Phys. Rev.D95 ( 12 ) 123510 - 123510   2017

  • Inflationary Primordial Black Holes as All Dark Matter Peer-reviewed

    Inomata, Keisuke, Kawasaki, Masahiro, Mukaida, Kyohei, Tada, Yuichiro, Yanagida, Tsutomu T.

    Phys. Rev.D96 ( 4 ) 043504 - 043504   2017

  • $\mathcal O(10) M_⊙$ primordial black holes and string axion dark matter Peer-reviewed

    Inomata, Keisuke, Kawasaki, Masahiro, Mukaida, Kyohei, Tada, Yuichiro, Yanagida, Tsutomu T.

    Phys. Rev.D96 ( 12 ) 123527 - 123527   2017

  • Can massive primordial black holes be produced in mild waterfall hybrid inflation? Peer-reviewed

    Kawasaki, Masahiro, Tada, Yuichiro

    JCAP1608 ( 08 ) 041 - 041   2016

  • Revisiting constraints on small scale perturbations from big-bang nucleosynthesis Peer-reviewed

    Inomata, Keisuke, Kawasaki, Masahiro, Tada, Yuichiro

    Phys. Rev.D94 ( 4 ) 043527 - 043527   2016

  • Primordial black holes as dark matter in supergravity inflation models Peer-reviewed

    Kawasaki, Masahiro, Kusenko, Alex, er, Tada, Yuichiro, Yanagida, Tsutomu T.

    Phys. Rev.D94 ( 8 ) 083523 - 083523   2016

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    Publishing type:Research paper (scientific journal)  

    We propose a novel scenario to produce abundant primordial black holes (PBHs) in new inflation which is a second phase of a double inflation in the supergravity frame work. In our model, some preinflation phase before the new inflation is assumed and it would be responsible for the primordial curvature perturbations on the cosmic microwave background scale, while the new inflation produces only the small scale perturbations. Our new inflation model has linear, quadratic, and cubic terms in its potential and PBH production corresponds with its flat inflection point. The linear term can be interpreted to come from a supersymmetry-breaking sector, and with this assumption, the vanishing cosmological constant condition after inflation and the flatness condition for the inflection point can be consistently satisfied.

    DOI: 10.1103/PhysRevD.94.083523

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  • Anisotropic CMB distortions from non-Gaussian isocurvature perturbations Peer-reviewed

    Ota, Atsuhisa, Sekiguchi, Toyokazu, Tada, Yuichiro, Yokoyama, Shuichiro

    JCAP1503 ( 03 ) 013 - 013   2015

  • Primordial black holes as biased tracers Peer-reviewed

    Tada, Yuichiro, Yokoyama, Shuichiro

    Phys. Rev.D91 ( 12 ) 123534 - 123534   2015

  • Consistent generation of magnetic fields in axion inflation models Peer-reviewed

    Fujita, Tomohiro, Namba, Ryo, Tada, Yuichiro, Takeda, Naoyuki, Tashiro, Hiroyuki

    JCAP1505 ( 05 ) 054 - 054   2015

  • Non-perturbative approach for curvature perturbations in stochastic $δ N$ formalism Peer-reviewed

    Fujita, Tomohiro, Kawasaki, Masahiro, Tada, Yuichiro

    JCAP1410 ( 10 ) 030 - 030   2014

  • A new algorithm for calculating the curvature perturbations in stochastic inflation Peer-reviewed

    Fujita, Tomohiro, Kawasaki, Masahiro, Tada, Yuichiro, Takesako, Tomohiro

    JCAP1312 ( 12 ) 036 - 036   2013

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Books and Other Publications

  • Black holes in the era of gravitational-wave astronomy

    Arca Sedda, Manuel, Bortolas, Elisa, Spera, Mario

    Elsevier  2024  ( ISBN:9780323956369

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    Total pages:xiv, 494 p.   Language:English

    CiNii Books

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Presentations

  • 確率形式によるインフレーション宇宙のゆらぎの非摂動的理解 Invited

    多田祐一郎

    日本物理学会  20 3 2025 

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    Presentation type:Oral presentation (keynote)  

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  • — 星が先かブラックホールが先か — 原始ブラックホール研究の最前線 Invited

    多田祐一郎

    自然科学カフェ  15 2 2025 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

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  • An improved quantum algorithm for eigenvalues of differential operators and its application to cosmic inflation Invited

    K. Miyamoto, Y. Tada

    7 2 2025 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:YITP  

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  • Quintessential interpretation of the evolving dark energy in light of DESI observations

    S. Hayashi, H. Miyatake, Y. Tada, T. Terada

    JGRG 33  6 12 2024 

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    Presentation type:Oral presentation (general)  

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  • STOchastic LAttice Simulation of Cosmic Inflation Invited

    Y. Mizuguchi, T. Murata, Y. Tada

    T-GEx Research Outcomes Exhibition 2024  2 12 2024 

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    Presentation type:Poster presentation  

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  • — 星が先かブラックホールが先か — 原始ブラックホール研究の最前線 Invited

    多田祐一郎

    豊西総合大学  14 11 2024 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

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  • STOLAS: STOchastic LAttice Simulation of cosmic inflation Invited

    Y. Mizuguchi, T. Murata, Y. Tada

    Evolution of the inhomogeneous universe: From Inflation to structure formation  7 11 2024 

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    Presentation type:Oral presentation (general)  

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  • Cancellation of quantum corrections on the soft curvature perturbations

    Y. Tada, T. Terada, J. Tokuda

    Looping in the Primordial Universe  29 10 2024 

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    Presentation type:Oral presentation (general)  

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  • Quintessential interpretation of the evolving dark energy in light of DESI observations

    S. Hayashi, H. Miyatake, Y. Tada, T. Terada

    COSMO'24  21 10 2024 

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    Presentation type:Oral presentation (general)  

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  • Cancellation of quantum corrections on the soft curvature perturbations Invited

    Y. Tada, T. Terada, J. Tokuda

    CAS-IBS CTPU-CGA-Tokyo Tech 2024 Workshop on Cosmology, Gravity, Particle Physics  17 10 2024 

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    Presentation type:Oral presentation (invited, special)  

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  • Cancellation of quantum corrections on the soft curvature perturbations

    Y. Tada, T. Terada, J. Tokuda

    Dynamics of primordial black hole formation II  7 10 2024 

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    Presentation type:Oral presentation (general)  

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  • Scalar-induced gravitational waves as a cosmological phonograph Invited

    Y. Tada

    iTHEMS Cosmology Forum No.2  27 9 2024 

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    Presentation type:Oral presentation (invited, special)  

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  • DESI による時間発展暗黒エネルギー観測のクインテッセンス解釈

    多田祐一郎, 寺田隆広

    第13回 観測的宇宙論ワークショップ  25 9 2024 

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    Presentation type:Oral presentation (general)  

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  • DESI による時間発展暗黒エネルギー観測のクインテッセンス解釈

    多田祐一郎, 寺田隆広

    日本物理学会  18 9 2024 

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    Presentation type:Oral presentation (general)  

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  • On the UV-completion and gravitational waves in the reheating of hybrid metric-Palatini Higgs inflation

    M. He, T. Hiramatsu, Y. Mikura, Y. Tada

    Fourth Mini-workshop on the Early Universe  5 9 2024 

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    Presentation type:Oral presentation (general)  

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  • A Complete Guide to Primordial Black Holes Invited

    Y. Tada

    25 6 2024 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Beijing Normal University  

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  • Quintessential interpretation of the evolving dark energy in light of DESI Invited

    S. Hayashi, H. Miyatake, Y. Tada, T. Terada

    Joint Seminar  17 6 2024 

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    Presentation type:Oral presentation (invited, special)  

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  • A Complete Guide to Primordial Black Holes Invited

    Y. Tada

    27 5 2024 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:The University of Tokyo  

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  • Dive into the Cosmic Abyss: Echoes from Primordial Black Hole Invited

    Y. Tada

    Joint workshop on General Relativity and Cosmology  7 3 2024 

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    Presentation type:Oral presentation (invited, special)  

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  • Cancellation of quantum corrections on the soft curvature perturbations Invited

    Y. Tada, T. Terada, J. Tokuda

    21 2 2024 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:CERN  

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  • インフレーションと超準解析 — 原始ブラックホールに向けて — Invited

    多田祐一郎

    "Physics meets Mathematics" まとめ合宿  10 2 2024 

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    Presentation type:Oral presentation (general)  

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  • Cancellation of quantum corrections on the soft curvature perturbations

    Y. Tada, T. Terada, J. Tokuda

    YITP long-term workshop "Gravity and Cosmology 2024"  19 1 2024 

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    Presentation type:Oral presentation (general)  

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  • The present and future of primordial black holes as dark matter Invited

    Y. Tada

    The 32nd Texas Symposium on Relativistic Astrophysics  12 12 2023 

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    Presentation type:Oral presentation (invited, special)  

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  • The present and future of primordial black holes as dark matter Invited

    Y. Tada

    KASHIWA DARK MATTER SYMPOSIUM 2023  5 12 2023 

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    Presentation type:Oral presentation (invited, special)  

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  • Cancellation of quantum corrections on the soft curvature perturbations Invited

    Y. Tada, T. Terada, J. Tokuda

    22 11 2023 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Institute of Cosmology and Gravitation  

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  • Nano-Hertz stochastic gravitational wave background Invited

    Y. Tada

    17 10 2023 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Nagoya University  

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  • Cancellation of quantum corrections on the soft curvature perturbations

    Y. Tada, T. Terada, J. Tokuda

    JGRG 32  27 9 2023 

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    Presentation type:Oral presentation (general)  

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  • Squeezed bispectrum and one-loop corrections in transient constant-roll inflation

    H. Motohashi, Y. Tada, T. Terada, J. Tokuda

    COSMO'23  15 9 2023 

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    Presentation type:Oral presentation (general)  

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  • 原始ブラックホールは自然科学なのか Invited

    多田祐一郎

    基研研究会 素粒子物理学の進展2023 (PPP2023)  1 9 2023 

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    Presentation type:Oral presentation (invited, special)  

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  • Stochastic approach to the inflationary universe Invited

    Y. Tada

    YITP International Molecule-type Workshop "Revisiting cosmological non-linearities in the era of precision surveys"  27 7 2023 

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    Presentation type:Oral presentation (general)  

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  • Stochastic approach to the inflationary universe Invited

    Y. Tada

    14 7 2023 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Waseda University  

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  • Stochastic approach to the inflationary universe

    Y. Tada

    27 6 2023 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Laboratoire de Physique de l’Ecole Normale Supérieure  

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  • Statistics of coarse-grained cosmological fields in stochastic inflation

    Y. Tada, V. Vennin

    New Horizons in Primordial Black Hole Physics  19 6 2023 

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    Presentation type:Oral presentation (general)  

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  • Stochastic approach to the inflationary universe

    Y. Tada

    13 6 2023 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Ludwig Maximilian University of Munich  

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  • Revisiting the formation of massive primordial black holes in hybrid inflation

    Y. Tada, M. Yamada

    i-LINK workshop on observational cosmology  7 6 2023 

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    Presentation type:Oral presentation (general)  

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  • Stochastic approach to the inflationary universe

    Y. Tada

    31 5 2023 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Institute for Basic Science  

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  • Stochastic approach to the inflationary universe Invited

    Y. Tada

    26 5 2023 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Center for Theoretical Physics  

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  • On the soft theorem in the transient ultra-slow or constant roll inflation Invited

    H. Motohashi, Y. Tada

    Domestic Molecule-type Workshop "Non-linear Nature of Cosmological Perturbations and its Observational Consequences"  28 3 2023 

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    Presentation type:Oral presentation (general)  

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  • 多重滝場ハイブリッドインフレーションと原始ブラックホール

    多田祐一郎, 山田將樹

    日本物理学会春季大会  23 3 2023 

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    Presentation type:Oral presentation (general)  

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  • Inflation theory — D'où venons-nous? Que sommes-nous? Où allons-nous? — Invited

    Y. Tada

    19th Rencontres du Vietnam "Theory meeting experiments: particle astrophysics and cosmology"  8 1 2023 

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    Presentation type:Oral presentation (general)  

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  • 原始ブラックホール研究の近年の進展

    多田祐一郎

    第35回 理論懇シンポジウム  21 12 2022 

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    Presentation type:Poster presentation  

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  • 曲率ゆらぎへの非摂動的アプローチ Invited

    多田祐一郎

    第11回観測的宇宙論ワークショップ  13 12 2022 

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    Presentation type:Oral presentation (invited, special)  

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  • Recent progress on stochastic inflation Invited

    多田祐一郎

    Workshop on Gravitation & Cosmology  29 11 2022 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

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  • Stochastic approach to cosmic inflation

    Y. Tada

    TSQS 2022  8 11 2022 

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    Presentation type:Poster presentation  

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  • Hybrid metric-Palatini Higgs inflation

    M. He, Y. Mikura, Y. Tada

    JGRG31  25 10 2022 

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    Presentation type:Oral presentation (general)  

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  • アクシオンインフレーションにおける U(1) ゲージ場の確率形式

    藤田智弘, 向田享平, 多田祐一郎

    日本物理学会秋季大会  6 9 2022 

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    Presentation type:Oral presentation (general)  

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  • Lattice simulation of stochastic inflation Invited

    Y. Tada

    Observational Cosmology Summer Workshop in 2022  29 8 2022 

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    Presentation type:Oral presentation (general)  

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  • 原始ブラックホールのピーク理論と非ガウス尾 Invited

    多田祐一郎

    7 6 2022 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:立教大学  

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  • Primordial black holes and induced gravitational waves in light of the non-Gaussian tail Invited

    K. T. Abe, A. Escrivà, N. Kitajima, R. Inui, Y. Tada, S. Yokoyama, C. M. Yoo

    30 3 2022 

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    Presentation type:Oral presentation (general)  

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  • Frontier of primordial black hole research — star first or black hole first? — Invited

    Y. Tada

    YLC semianr  22 3 2022 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Nagoya University  

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  • 原始ブラックホールのピーク理論と非ガウス尾

    A. Escrivà, 北嶋直弥, 多田祐一郎, 横山修一郎, 柳哲文

    日本物理学会第77回年次大会  17 3 2022 

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  • インフレーションの「現在」と重力波 Invited

    多田祐一郎

    DECIGO ワークショップ  11 12 2021 

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    Language:Japanese   Presentation type:Oral presentation (general)  

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  • Probability density functions of coarse-grained curvature and density perturbations in stochastic inflation

    Yuichiro Tada, Vincent Vennin

    JGRG30  9 12 2021 

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    Language:English   Presentation type:Oral presentation (general)  

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  • Primordial black holes in peak theory with a non-Gaussian tail

    Naoya Kitajima, Yuichiro Tada, Shuichiro Yokoyama, Chul-Moon Yoo

    The KEK-PH + KEK-Cosmo joint workshop on "Primordial Black Holes"  19 10 2021 

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    Language:Japanese   Presentation type:Oral presentation (general)  

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  • 粗視化曲率ゆらぎの確率密度関数

    多田祐一郎, Vincent Vennin

    日本物理学会秋季大会  14 9 2021 

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    Language:Japanese   Presentation type:Oral presentation (general)  

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  • 宇宙の「インフレ」と「金融工学」 Invited

    多田祐一郎

    名大発アカデミックフラッシュ 第2報  3 9 2021 

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    Language:Japanese   Presentation type:Oral presentation (general)  

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  • 星が先かブラックホールが先か?原始ブラックホール研究の最前線 Invited

    多田祐一郎

    名古屋大学・名古屋市科学館 公開オンラインセミナー  22 8 2021 

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    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

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  • Probability density functions of coarse-grained curvature and density perturbations in stochastic inflation

    Yuichiro Tada, Vincent Vennin

    COSMO'21  2 8 2021 

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  • Primordial black holes in peak theory with a non-Gaussian tail Invited

    Naoya Kitajima, Yuichiro Tada, Shuichiro Yokoyama, Chul-Moon. Yoo

    2021 NRF-JSPS Workshop in particle physics, cosmology, and gravitation  21 7 2021 

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    Language:English   Presentation type:Oral presentation (general)  

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  • Self-introduction, or a biased view of what theoretical cosmologists are recently interested in Invited

    Yuichiro Tada

    E-lab seminar, Nagoya U.  25 5 2021 

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    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Nagoya University  

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  • インフレーションの確率形式に対する共変な定式化

    L. Pinol, S. Renaux-Petel, 多田祐一郎

    日本物理学会第76回年次大会  13 3 2021 

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    Presentation type:Oral presentation (general)  

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  • Manifestly covariant theory of stochastic inflation

    L. Pinol, S. Renaux-Petel, Y. Tada

    Online JGRG Workshop 2020  25 11 2020 

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    Presentation type:Poster presentation  

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  • インフレーションの確率形式に対する共変な定式化 Invited

    L. Pinol, S. Renaux-Petel, 多田祐一郎, V. Vennin

    12 11 2020 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:東京大学  

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  • Manifestly covariant theory of stochastic inflation

    L. Pinol, S. Renaux-Petel, Y. Tada, V. Vennin

    11 11 2020 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:University of Padova  

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  • StocDeltaN: numerical approach to inflation in combination of the stochastic and delta N formalism Invited

    S. Renaux-Petel, Y. Tada, V. Vennin

    PBH & Stochastic inflation workshop  10 11 2020 

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    Presentation type:Oral presentation (general)  

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  • A manifestly covariant theory of multifield stochastic inflation in phase space Invited

    L. Pinol, S. Renaux-Petel, Y. Tada

    JGRG Webinar Series  22 10 2020 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

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  • Manifestly covariant theory of stochastic inflation

    L. Pinol, S. Renaux-Petel, Y. Tada, V. Vennin

    20 10 2020 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:KEK  

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  • Manifestly covariant theory of stochastic inflation Invited

    L. Pinol, S. Renaux-Petel, Y. Tada, V. Vennin

    7 10 2020 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Institute for Basic Science  

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  • Escape from the swamp with spectator

    小粥一寛, 多田祐一郎

    日本物理学会秋季大会  15 9 2020 

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    Presentation type:Oral presentation (general)  

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  • Manifestly covariant theory of stochastic inflation

    L. Pinol, S. Renaux-Petel, Y. Tada, V. Vennin

    The 14th International Conference on Gravitation, Astrophysics and Cosmology (ICGAC14)  20 8 2020 

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    Presentation type:Oral presentation (general)  

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  • 極長ストカスティックインフレーション

    北嶋直弥, 多田祐一郎, 高橋史宜

    日本物理学会第75回年次大会  17 3 2020 

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    Presentation type:Oral presentation (general)  

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  • Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes

    Y. Tada, S. Yokoyama

    Focus Week on Primordial Black Holes  6 12 2019 

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    Presentation type:Oral presentation (general)  

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  • Stochastic inflation with an extremely large number of e-folds

    N. Kitajima, Y. Tada, F. Takahashi

    JGRG29  27 11 2019 

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    Presentation type:Oral presentation (general)  

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  • Stochastic approach to non-Gaussianity

    Y. Tada, V. Vennin

    Theoretical aspects of non-Gaussianity from modern perspectives  19 11 2019 

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    Presentation type:Oral presentation (general)  

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  • Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes

    Y. Tada, S. Yokoyama

    GWPAW 2019  16 10 2019 

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    Presentation type:Oral presentation (general)  

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  • 多段階インフレーションによる原始ブラックホールタワー

    多田祐一郎, 横山修一郎

    日本物理学会秋季大会  20 9 2019 

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    Presentation type:Oral presentation (general)  

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  • Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes

    Y. Tada, S. Yokoyama

    COSMO19  4 9 2019 

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    Presentation type:Poster presentation  

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  • Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes Invited

    Y. Tada, S. Yokoyama

    15th Rencontres du Vietnam "COSMOLOGY"  16 8 2019 

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    Presentation type:Oral presentation (general)  

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  • Aspects of primordial black holes and implication to multi-phase inflation

    K. Inomata, M. Kawasaki, A. Kusenko, K. Mukaida, Y. Tada, T. T. Yanagida, S. Yokoyama

    17 6 2019 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Institut de Recherche en Astrophysique et Planétologie  

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  • Stochastic formalism and curvature perturbation Invited

    T. Fujita, L. Pinol, S. Renaux-Petel, Y. Tada, J. Tokuda, V. Vennin

    3-day workshop: INFLATION AND GEOMETRY  13 6 2019 

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    Presentation type:Oral presentation (general)  

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  • Aspects of primordial black holes and implication to multi-phase inflation Invited

    K. Inomata, M. Kawasaki, A. Kusenko, K. Mukaida, Y. Tada, T. T. Yanagida, S. Yokoyama

    23 5 2019 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Tohoku University  

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  • PBH tower in multi-phase inflation

    Y. Tada, S. Yokoyama

    2-day mini-workshop: Axion Cosmology  15 5 2019 

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    Presentation type:Oral presentation (general)  

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  • PBH tower in multi-phase inflation

    Y. Tada, S. Yokoyama

    Future Perspective in Cosmology and Gravity  3 4 2019 

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    Presentation type:Oral presentation (general)  

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  • PBH tower in multi-phase inflation

    Y. Tada, S. Yokoyama

    Accelerating Universe in the Dark  7 3 2019 

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    Presentation type:Oral presentation (general)  

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  • Aspects of primordial black hole as dark matter

    K. Inomata, M. Kawasaki, A. Kusenko, K. Mukaida, Y. Tada, T. T. Yanagida, S. Yokoyama

    FAPESP-JSPS Workshop on dark energy, dark matter, and galaxies  19 2 2019 

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    Presentation type:Oral presentation (general)  

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  • Stochastic formalism and curvature perturbations

    T. Fujita, L. Pinol, S. Renaux-Petel, Y. Tada, J. Tokuda

    JGRG28  8 11 2018 

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    Presentation type:Oral presentation (general)  

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  • 一般的場空間におけるストカスティックインフレーション Invited

    藤田智弘, L. Pinol, S. Renaux-Petel, 多田祐一郎, 徳田順生

    9 10 2018 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:立教大学  

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  • ストカスティックインフレーションのノイズ処方について

    藤田智弘, L. Pinol, S. Renaux-Petel, 多田祐一郎, 徳田順生

    日本物理学会秋季大会  14 9 2018 

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    Presentation type:Oral presentation (general)  

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  • Stochastic inflation in a general field space

    T. Fujita, L. Pinol, S. Renaux-Petel, Y. Tada, J. Tokuda

    MOGRA 2018  10 8 2018 

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    Presentation type:Oral presentation (general)  

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  • Stochastic inflation in a general field space

    T. Fujita, L. Pinol, S. Renaux-Petel, Y. Tada, J. Tokuda

    Fifteenth Marcel Grosmann Meeting  5 7 2018 

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    Presentation type:Oral presentation (general)  

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  • Subtleties in stochastic formalism - Ito vs. Stratonovich

    L. Pinol, S. Renaux-Petel, Y. Tada

    Infrared physics of gauge theories and quantum dynamics of inflation  20 1 2018 

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    Presentation type:Oral presentation (general)  

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  • Stochastic Formalism in Curved Field Space

    L. Pinol, S. Renaux-Petel, Y. Tada

    20 9 2017 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Nagoya University  

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  • Stochastic Formalism in Curved Field Space

    L. Pinol, S. Renaux-Petel, Y. Tada

    19 9 2017 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Kobe University  

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  • 曲がった場空間におけるストカスティック形式

    L. Pinol, S. Renaux-Petel, 多田祐一郎

    日本物理学会秋季大会  12 9 2017 

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    Presentation type:Oral presentation (general)  

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  • Stochastic Formalism in Curved Field Space

    L. Pinol, S. Renaux-Petel, Y. Tada

    4 9 2017 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:RESCEU  

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  • Stochastic Formalism in Curved Field Space

    L. Pinol, S. Renaux-Petel, Y. Tada

    COSMO 17  28 8 2017 

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    Presentation type:Oral presentation (general)  

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  • Primordial Black Hole, Dark Matter, and Gravitational Wave

    K. Inomata, M. Kawasaki, A. Kusenko, K. Mukaida, Y. Tada, T. T. Yanagida

    Gordon Research Conference & Seminars "String Theory & Cosmology"  27 5 2017 

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    Presentation type:Poster presentation  

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  • Primordial Black Hole, Dark Matter, and LIGO's Gravitational Wave Event

    K. Inomata, M. Kawasaki, A. Kusenko, K. Mukaida, Y. Tada, T. T. Yanagida

    20 4 2017 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Institut Astrophysique de Paris  

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  • Primordial Black Hole, Dark Matter, and LIGO's Gravitational Wave Event Invited

    K. Inomata, M. Kawasaki, A. Kusenko, K. Mukaida, Y. Tada, T. T. Yanagida

    16 12 2016 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Waseda University  

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  • Squeezed Bispectrum in the delta N Formalism without Gauge Artifact

    Y. Tada, V. Vennin

    The 26th Workshop on General Relativity and Gravitation in Japan (JGRG26)  24 10 2016 

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    Presentation type:Oral presentation (general)  

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  • 超重力ニューインフレーションにおける原始ブラックホール形成

    川崎雅裕, A. Kusenko, 多田祐一郎, 柳田勉

    日本物理学会秋季大会  9 2016 

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    Presentation type:Oral presentation (general)  

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  • PBH Dark Matter in Supergravity Inflation Models

    M. Kawasaki, A. Kusenko, Y. Tada, T. T. Yanagida

    RESCEU Summer School  24 8 2016 

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    Presentation type:Oral presentation (general)  

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  • Stochastic-delta N formalism and massive primordial black hole formation in hybrid inflation

    M. Kawasaki, Y. Tada

    22 6 2016 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Institute of Cosmology and Gravitation  

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  • Stochastic-delta N formalism and massive primordial black holes in hybrid inflation Invited

    M. Kawasaki, Y. Tada

    18 4 2016 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:The University of Tokyo  

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  • Stochastic-delta N formalism and massive primordial black holes in hybrid inflation

    M. Kawasaki, Y. Tada

    29 3 2016 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Kyoto University  

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  • Can massive primordial black holes be produced in mild waterfall hybrid inflation? Invited

    川崎雅裕, 多田祐一郎

    松江素粒子物理学研究会  3 2016 

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    Presentation type:Oral presentation (general)  

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  • Can massive primordial black holes be produced in mild waterfall hybrid inflation? Invited

    M. Kawasaki, Y. Tada

    29 2 2016 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:RESCEU  

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  • Stochastic-delta N formalism and massive primordial black holes in hybrid inflation

    M. Kawasaki, Y. Tada

    27 1 2016 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:KEK  

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  • Can massive primordial black holes be produced in mild waterfall hybrid inflation?

    M. Kawasaki, Y. Tada

    Second LeCosPA International Symposium "Everything About Gravity"  14 12 2015 

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    Presentation type:Oral presentation (general)  

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  • Stochastic-deltaN formalism and primordial black holes in hybrid inflation

    M. Kawasaki, Y. Tada

    21 9 2015 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Institut Astrophysique de Paris  

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  • Stochastic-deltaN formalism and primordial black holes in hybrid inflation

    M. Kawasaki, Y. Tada

    14 9 2015 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:University of Padova  

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  • PRIMORDIAL BLACK HOLES AS BIASED TRACERS

    Y. Tada, S. Yokoyama

    International Conference on Particle Physics and Cosmology (COSMO-15)  7 9 2015 

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    Presentation type:Oral presentation (general)  

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  • 超対称ハイブリッドインフレーションでの原始ブラックホール形成

    川崎雅裕, 多田祐一郎

    日本物理学会秋季大会  9 2015 

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    Presentation type:Oral presentation (general)  

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  • Stochastic inflation in a general field space

    T. Fujita, L. Pinol, S. Renaux-Petel, Y. Tada, J. Tokuda

    26 6 2015 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:AstroParticule et Cosmologie  

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  • バイアストレーサーとしての原始ブラックホール

    多田祐一郎, 横山修一郎

    25 6 2015 

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    Venue:名古屋大学  

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  • バイアス効果による原始ブラックホール暗黒物質への制限

    多田祐一郎, 横山修一郎

    日本物理学会第70回年次大会  3 2015 

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    Presentation type:Oral presentation (general)  

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  • Primordial black holes as biased tracers

    Y. Tada, S. Yokoyama

    Joint seminar of gravity and cosmology  16 2 2015 

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    Venue:IPMU  

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  • ストカスティック-δN形式による曲率ゆらぎへの非摂動的アプローチ

    藤田智弘, 川崎雅裕, 多田祐一郎

    日本物理学会秋季大会  9 2014 

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  • Non-perturbative approach for curvature perturbations in stochastic-delta N formalism

    T. Fujita, M. Kawasaki, Y. Tada

    International Conference on Particle Physics and Cosmology (COSMO 2014)  25 8 2014 

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    Presentation type:Poster presentation  

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  • Stochastic-δN formalism

    T. Fujita, M. Kawasaki, Y. Tada, T. Takesako

    19 8 2014 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:University of Helsinki  

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  • A new algorithm for calculating the curvature perturbations in stochastic inflation

    T. Fujita, M. Kawasaki, Y. Tada, T. Takesako

    KEK Theory Meeting on Particle Physics Phenomenology (KEK-PH2013 FALL)  30 9 2013 

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    Presentation type:Oral presentation (general)  

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  • ストカスティック効果を用いたインフレーションのゆらぎの解析

    藤田智弘, 川崎雅裕, 多田祐一郎, 竹迫知博

    日本物理学会秋季大会  9 2013 

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Teaching Experience

  • 4 2025 - Present 
    Introductory Seminar on Basic Physics ( Rikkyo University )

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  • 4 2025 - Present 
    Exercises in Quantum Mechanics 1 ( Rikkyo University )

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  • 4 2025 - Present 
    Exercises in Physics 3 ( Rikkyo University )

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  • 4 2025 - Present 
    Exercises in Statistical Mechanics 1 ( Rikkyo University )

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  • 9 2022 - 3 2023 
    electromagnetism & statistical physics I exercise ( Nagoya University )

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  • 4 2019 - 3 2021 
    Classical mechanics 1, 2 ( Daido University )

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Professional Memberships

  • 6 2013 - Present 
    The Physical Society of Japan

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Research Projects

  • Stochastic lattice simulation of the inflationary universe

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research 

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    4 2024 - 3 2027

    Grant number:24K07047

    Grant amount:\4550000 ( Direct Cost: \3500000 、 Indirect Cost:\1050000 )

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  • Physics meets Mathematics

    Institute for Advanced Research, Nagoya University  YLC collaborative research grant 

    Yuichiro Tada, Minoru Hirose, Koji Tasaka

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    7 2023 - 3 2024

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  • Inflationary universe in light of stochastic calculus, primordial black holes, and gravitational waves

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists 

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    4 2021 - 3 2024

    Grant number:21K13918

    Grant amount:\4680000 ( Direct Cost: \3600000 、 Indirect Cost:\1080000 )

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  • Aspects of gravity and quantum theory in the stochastic formalism

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists 

    Tada Yuichiro

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    4 2019 - 3 2021

    Grant number:19K14707

    Grant amount:\1560000 ( Direct Cost: \1200000 、 Indirect Cost:\360000 )

    A total of 13 papers are published during the research term. In particular, 1908.08694 proposed and tested a very long-lasting inflationary theory in the stochastic formalism, and 2008.07497 reformulated that formalism in a covariant way in the inflaton fields and resolved the existing uncertainty. 2111.15280 established a method to calculate the probability density function of arbitrarily coarse-grained cosmological fluctuations in the stochastic formalism, filling in the last piece of the puzzle from inflation to astrophysical object formations. These results were presented at 24 national and international conferences and 11 seminars, and I received the Outstanding Presentation Award Gold Prize at the Online JGRG Workshop 2020.

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  • Curvature Perturbations and Primordial Black Hole Formation in the Inflationary Universe

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for JSPS Fellows 

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    4 2018 - 3 2021

    Grant number:18J01992

    Grant amount:\3640000 ( Direct Cost: \2800000 、 Indirect Cost:\840000 )

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  • 小スケール曲率ゆらぎの観測とインフレーション

    日本学術振興会  科学研究費助成事業 特別研究員奨励費 

    多田 祐一郎

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    4 2015 - 3 2017

    Grant number:15J10829

    Grant amount:\1900000 ( Direct Cost: \1900000 )

    昨年度は5本の論文 (arXiv:1605.04646, 1606.07631, 1609.08876, 1611.06130, 1701.02544) を提出した。1つ目の論文では小スケールにもし大きな曲率ゆらぎが生じていた場合、それがビッグバン元素合成に与える影響について再考察し、既存の結果が定性的レベルで修正されることを示した。また3つ目の論文では、曲率ゆらぎのスクィーズド極限バイスペクトルに関し、近年指摘されているゲージ依存効果についての新たな理解を示し、簡単な計算アルゴリズムを提唱した。これは今後、実際に何らかの観測 (宇宙背景放射や銀河バイアス等) によってバイスペクトルを測定し、それを宇宙初期の物理と対応させるときに非常に重要になってくる。残りの論文では原始ブラックホールについて議論している。昨年 LIGO グループが初の重力波直接検出を発表し話題になったが、この重力波は重いブラックホール連星の合体から来ており、こうしたブラックホールが原始ブラックホールである可能性も注目されてきている。また伴って、原始ブラックホールが暗黒物質である可能性も再注目されてきた。そこで我々は実際に具体的なインフレーション模型を構築し、原始ブラックホールが LIGO の重力波イベントや暗黒物質を説明しうるか、また他に検出方法があるかどうかなどを検証した。
    これら研究成果に関し、国際会議で2度, 国内会議で1度口頭発表を行った. また国内外合わせて4つの研究機関でセミナー発表を行った.

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Academic Activities

  • Dynamics of primordial black hole formation II

    Planning, management, etc.

    7 10 2024 - 10 10 2024

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    Type:Academic society, research group, etc. 

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  • Physics meets Mathematics

    Planning, management, etc.

    7 2023 - 3 2024

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    Type:Academic research 

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  • JGRG 32

    Planning, management, etc.

    27 11 2023 - 1 12 2023

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    Type:Academic society, research group, etc. 

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Social Contribution

  • — 星が先かブラックホールが先か — 原始ブラックホール研究の最前線

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    自然科学カフェ  15 2 2025

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    Type:Lecture

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  • — 星が先かブラックホールが先か — 原始ブラックホール研究の最前線

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    豊田西高校  豊西総合大学  14 11 2024

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    Type:Lecture

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  • 宇宙の「インフレ」と「金融工学」

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    名大発アカデミックフラッシュ  3 9 2021

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    Type:Seminar, workshop

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  • 星が先かブラックホールが先か?原始ブラックホール研究の最前線

    Appearance

    名古屋大学・名古屋市科学館 公開オンラインセミナー  22 8 2021

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    Type:Lecture

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