Language：Japanese   Publisher：Progress of Theoretical and Experimental Physics  

We revisit squeezed-limit non-Gaussianity in single-field non-attractor inflation models from the viewpoint of the cosmological soft theorem. In single-field attractor models, an 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

Scopus

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

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 Letter, we investigate the measurement of the equation of state parameter $w$ and the sound speed $c_{\rm s}$ of the PT plasma with use of the gravitational waves (GWs) of the universe. Though the propagation of GW is insensitive to $c_{\rm s}$ 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 $c_{\rm s}$. 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 $c_{\rm s}$ va lues at different time 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 $10^{-4}\lesssim A_\zeta\lesssim10^{-2}$, the induced GW is consistent with current observational constraints and detectable in the future observation in Square Kilometer Array. Futhermore the recent possible detection of stochastic GWs by NANOGrav 12.5 yr analysis~[1 ] can be explained by the induced GW if $A_\zeta\sim\sqrt{7}\times10^{-3}$.

DOI： 10.1088/1475-7516/2021/06/048

Web of Science

Scopus

arXiv

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

Language：Japanese   Publisher：Physical Review D  

We motivate a minimal realization of slow-roll k-inflation by incorporating the local conformal symmetry and the broken global SO(1,1) symmetry in the metric-affine geometry. With use of the metric-affine geometry where both the metric and the affine connection are treated as independent variables, the local conformal symmetry can be preserved in each term of the Lagrangian and thus higher derivatives of scalar fields can be easily added in a conformally invariant way. Predictions of this minimal slow-roll k-inflation, ns∼0.96, r∼0.005, and cs∼0.03, are not only consistent with current observational data but also have a prospect to be tested by forthcoming observations.

DOI： 10.1103/PhysRevD.103.L101303

Scopus

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

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 It\^o-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 [... ]

DOI： 10.1088/1475-7516/2021/04/048

Web of Science

Scopus

arXiv

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

Language：Japanese   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

Web of Science

Scopus

arXiv

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

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

<title>Abstract</title>
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

Web of Science

Scopus

arXiv

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

Language：Japanese   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

Web of Science

Scopus

arXiv

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

Language：Japanese   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

Web of Science

Scopus

arXiv

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

Language：Japanese   Publisher：The Physical Society of Japan  

DOI： 10.11316/jpsgaiyo.75.1.0_543

CiNii Research

Language：Japanese   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

Web of Science

arXiv

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

Language：Japanese   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

Web of Science

Scopus

arXiv

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

Language：Japanese   Publishing type：Research paper (scientific journal)   Publisher：Elsevier {BV}  

We show that a detectable tensor-to-scalar ratio $(r\ge 10^{-3})$ on the CMB
scale can be generated even during extremely low energy inflation which
saturates the BBN bound $\rho_{\rm inf}\approx (30 {\rm MeV})^4$. The source of
the gravitational waves is not quantum fluctuations of graviton but those of
$SU(2)$ gauge fields, energetically supported by coupled axion fields. The
curvature perturbation, the backreaction effect and the validity of
perturbative treatment are carefully checked. Our result indicates that
measuring $r$ alone does not immediately fix the inflationary energy scale.

DOI： 10.1016/j.physletb.2017.12.014

Web of Science

Scopus

arXiv

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

LIGO-Virgo collaboration has found black holes as heavy as $M \sim 30M_\odot$
through the detections of the gravitational waves emitted during their mergers.
Primordial black holes (PBHs) produced by inflation could be an origin of such
events. While it is tempting to presume that these PBHs constitute all Dark
Matter (DM), there exists a number of constraints for PBHs with $\mathcal{O}
(10) M_\odot$ which contradict with the idea of PBHs as all DM. Also, it is
known that weakly interacting massive particle (WIMP) that is a common DM
candidate is almost impossible to coexist with PBHs. These observations
motivate us to pursue another candidate of DM. In this paper, we assume that
the string axion solving the strong CP problem makes up all DM, and discuss the
coexistence of string axion DM and inflationary PBHs for LIGO events.

DOI： 10.1103/PhysRevD.96.123527

Web of Science

Scopus

arXiv

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

Following a new microlensing constraint on primordial black holes (PBHs) with
$\sim10^{20}$--$10^{28}\,\mathrm{g}$~[1], we revisit the idea of PBH as all
Dark Matter (DM). We have shown that the updated observational constraints
suggest the viable mass function for PBHs as all DM to have a peak at $\simeq
10^{20}\,\mathrm{g}$ with a small width $\sigma \lesssim 0.1$, by imposing
observational constraints on an extended mass function in a proper way. We have
also provided an inflation model that successfully generates PBHs as all DM
fulfilling this requirement.

DOI： 10.1103/PhysRevD.96.043504

Web of Science

Scopus

arXiv

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

Primordial black holes (PBHs) are one of the candidates to explain the
gravitational wave (GW) signals observed by the LIGO detectors. Among several
phenomena in the early Universe, cosmic inflation is a major example to
generate PBHs from large primordial density perturbations. In this paper, we
discuss the possibility to interpret the observed GW events as mergers of PBHs
which are produced by cosmic inflation. The primordial curvature perturbation
should be large enough to produce a sizable amount of PBHs and thus we have
several other probes to test this scenario. We point out that the current
pulsar timing array (PTA) experiments already put severe constraints on GWs
generated via the second-order effects, and that the observation of the cosmic
microwave background (CMB) puts severe restriction on its $\mu$ distortion. In
particular, it is found that the scalar power spectrum should have a very sharp
peak at $k \sim 10^{6}$ Mpc$^{-1}$ to fulfill the required abundance of PBHs
while evading constraints from the PTA experiments together with the $\mu$
distortion. We propose a mechanism which can realize such a sharp peak. In the
future, simple inflation models that generate PBHs via almost Gaussian
fluctuations could be probed/excluded.

DOI： 10.1103/PhysRevD.95.123510

Web of Science

Scopus

arXiv

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

The prospects of future galaxy surveys for non-Gaussianity measurements call
for the development of robust techniques for computing the bispectrum of
primordial cosmological perturbations. In this paper, we propose a novel
approach to the calculation of the squeezed bispectrum in multiple-field
inflation. With use of the $\delta N$ formalism, our framework sheds new light
on the recently pointed out difference between the squeezed bispectrum for
global observers and that for local observers, while allowing one to calculate
both. For local observers in particular, the squeezed bispectrum is found to
vanish in single-field inflation. Furthermore, our framework allows one to go
beyond the near-equilateral ("small hierarchy") limit, and to automatically
include intrinsic non-Gaussianities that do not need to be calculated
separately. The explicit computational programme of our method is given and
illustrated with a few examples.

DOI： 10.1088/1475-7516/2017/02/021

Web of Science

Scopus

arXiv

Language：Japanese   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

Web of Science

arXiv

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

We revisit the constraints on the small scale density perturbations
($10^4\,\mathrm{Mpc}^{-1}\lesssim k \lesssim10^5\,\mathrm{Mpc}^{-1}$) from the
modification of the freeze-out value of the neutron-proton ratio at big-bang
nucleosynthesis era. Around the freeze-out temperature $T\sim
0.5\,\mathrm{MeV}$, the universe can be divided into several local patches
which have different temperatures since any perturbation which enters the
horizon after the neutrino decoupling has not diffused yet. Taking account of
this situation, we calculate the freeze-out value in detail. We find that the
small scale perturbations decrease the n-p ratio in contrast to previous works.
With use of the latest observed $^4$He abundance, we obtain the constraint on
the power spectrum of the curvature perturbations as
$\Delta^2_\mathcal{R}\lesssim 0.018$ on $10^4\,\mathrm{Mpc}^{-1}\lesssim k
\lesssim 10^5\,\mathrm{Mpc}^{-1}$.

DOI： 10.1103/PhysRevD.94.043527

Web of Science

Scopus

arXiv

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

We studied the possibility whether the massive primordial black holes (PBHs)
surviving today can be produced in hybrid inflation. Though it is of great
interest since such PBHs can be the candidate for dark matter or seeds of the
supermassive black holes in galaxies, there have not been quantitatively
complete works yet because of the non-perturbative behavior around the critical
point of hybrid inflation. Therefore, combining the stochastic and $\delta N$
formalism, we numerically calculated the curvature perturbations in a
non-perturbative way and found, without any specific assumption of the types of
hybrid inflation, PBHs are rather overproduced when the waterfall phase of
hybrid inflation continues so long that the PBH scale is well enlarged and the
corresponding PBH mass becomes sizable enough.

DOI： 10.1088/1475-7516/2016/08/041

Web of Science

Scopus

arXiv

Language：Japanese   Publisher：The Physical Society of Japan  

DOI： 10.11316/jpsgaiyo.71.2.0_328

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

Primordial black holes (PBHs) are theoretical black holes which may be formed
during the radiation dominant era and, basically, caused by the gravitational
collapse of radiational overdensities. It has been well known that in the
context of the structure formation in our Universe such collapsed objects,
e.g., halos/galaxies, could be considered as bias tracers of underlying matter
fluctuations and the halo/galaxy bias has been studied well. Employing a
peak-background split picture which is known to be a useful tool to discuss the
halo bias, we consider the large scale clustering behavior of the PBH and
propose an almost mass-independent constraint to the scenario that dark matters
(DMs) consist of PBHs. We consider the case where the statistics of the
primordial curvature perturbations is almost Gaussian, but with small
local-type non-Gaussianity. If PBHs account for the DM abundance, such a large
scale clustering of PBHs behaves as nothing but the matter isocurvature
perturbation and constrained strictly by the observations of cosmic microwave
backgrounds (CMB). From this constraint, we show that, in the case a certain
single field causes both CMB temperature perturbations and PBH formations, the
PBH-DM scenario is excluded even with quite small local-type non-Gaussianity,
$|f_\mathrm{NL}|\sim\mathcal{O}(0.01)$, while we give the constraints to
parameters in the case where the source field of PBHs is different from CMB
perturbations.

DOI： 10.1103/PhysRevD.91.123534

Web of Science

Scopus

arXiv

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

There has been a growing evidence for the existence of magnetic fields in the
extra-galactic regions, while the attempt to associate their origin with the
inflationary epoch alone has been found extremely challenging. We therefore
take into account the consistent post-inflationary evolution of the magnetic
fields that are originated from vacuum fluctuations during inflation. In the
model of our interest, the electromagnetic (EM) field is coupled to a
pseudo-scalar inflaton $\phi$ through the characteristic term $\phi F\tilde F$,
breaking the conformal invariance. This interaction dynamically breaks the
parity and enables a continuous production of only one of the polarization
states of the EM field through tachyonic instability. The produced magnetic
fields are thus helical. We find that the dominant contribution to the observed
magnetic fields in this model comes from the modes that leave the horizon near
the end of inflation, further enhanced by the tachyonic instability right after
the end of inflation. The EM field is subsequently amplified by parametric
resonance during the period of inflaton oscillation. Once the thermal plasma is
formed (reheating), the produced helical magnetic fields undergo a turbulent
process called inverse cascade, which shifts their peak correlation scales from
smaller to larger scales. We consistently take all these effects into account
within the regime where the perturbation of $\phi$ is negligible and obtain
$B_{\rm eff} \sim 10^{-19}$G, indicating the necessity of additional mechanisms
to accommodate the observations.

DOI： 10.1088/1475-7516/2015/05/054

Web of Science

Scopus

arXiv

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

We calculate the CMB $\mu$-distortion and the angular power spectrum of its
cross-correlation with the temperature anisotropy in the presence of the
non-Gaussian neutrino isocurvature density (NID) mode. While the pure Gaussian
NID perturbations give merely subdominant contribution to $<\mu>$ and vanishing
$< \mu T>$, the latter quantity can be large enough to be detected in the
future when the NID perturbations $\mathcal S(\mathbf x)$ are proportional to
the square of a Gaussian field $g(\mathbf x)$, i.e. $\mathcal S({\mathbf
x})\propto g^2({\mathbf x})$. In particular, large $< \mu T>$ can be realized
since Gaussian-squared perturbations can yield a relatively large bispectrum,
satisfying the constraints from the power spectrum of CMB anisotropies, i.e.
$\mathcal{P}_\mathcal{SS}(k_0) \sim\mathcal{P}_g^2(k_0)\lesssim10^{-10}$ at
$k_0=0.05$ Mpc$^{-1}$. We also forecast constraints from the CMB temperature
and E-mode polarisation bispectra, and show that
$\mathcal{P}_g(k_0)\lesssim10^{-5}$ would be allowed from Planck data. We find
that $< \mu >$ and $|l(l+1)C^{\mu T}_l|$ can respectively be as large as
$10^{-9}$ and $10^{-14}$ with uncorrelated scale-invariant NID perturbations
for $\mathcal{P}_g(k_0)=10^{-5}$. When the spectrum of the Gaussian field is
blue-tilted (with spectral index $n_g \simeq 1.5$), $< \mu T>$ can be enhanced
by an order of magnitude.

DOI： 10.1088/1475-7516/2015/03/013

Web of Science

Scopus

arXiv

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

In our previous paper, we have proposed a new algorithm to calculate the
power spectrum of the curvature perturbations generated in inflationary
universe with use of the stochastic approach. Since this algorithm does not
need the perturbative expansion with respect to the inflaton fields on
super-horizon scale, it works even in highly stochastic cases. For example,
when the curvature perturbations are very large or the non-Gaussianities of the
curvature perturbations are sizable, the perturbative expansion may break down
but our algorithm enables to calculate the curvature perturbations. We apply it
to two well-known inflation models, chaotic and hybrid inflation, in this
paper. Especially for hybrid inflation, while the potential is very flat around
the critical point and the standard perturbative computation is problematic, we
successfully calculate the curvature perturbations.

DOI： 10.1088/1475-7516/2014/10/030

Web of Science

Scopus

arXiv

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

We propose a new approach for calculating the curvature perturbations
produced during inflation in the stochastic formalism. In our formalism, the
fluctuations of the e-foldings are directly calculated without perturbatively
expanding the inflaton field and they are connected to the curvature
perturbations by the $\delta N$ formalism. The result automatically includes
the contributions of the higher order perturbations because we solve the
equation of motion non-perturbatively. In this paper, we analytically prove
that our result (the power spectrum and the nonlinearity parameter) is
consistent with the standard result in single field slow-roll inflation. We
also describe the algorithm for numerical calculations of the curvature
perturbations in more general inflation models.

DOI： 10.1088/1475-7516/2013/12/036

Web of Science

Scopus

arXiv

Language：English   Presentation type：Oral presentation (general)  

Language：English   Presentation type：Poster presentation  

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

Language：Japanese   Presentation type：Oral presentation (general)