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Stochastic effects in generic scenarios of inflation with multiple fields are investigated. First passage time techniques are employed to calculate the statistical moments of the number of inflationary $e$-folds, which give rise to all…

宇宙学与河外天体物理 · 物理学 2017-01-25 Vincent Vennin , Hooshyar Assadullahi , Hassan Firouzjahi , Mahdiyar Noorbala , David Wands

Stochastic effects in multi-field inflationary scenarios are investigated. A hierarchy of diffusion equations is derived, the solutions of which yield moments of the numbers of inflationary $e$-folds. Solving the resulting partial…

高能物理 - 理论 · 物理学 2016-08-24 Hooshyar Assadullahi , Hassan Firouzjahi , Mahdiyar Noorbala , Vincent Vennin , David Wands

We study the Brownian motion of a field where there are boundaries in the inflationary field space. Both the field and the boundary undergo Brownian motions with the amplitudes of the noises determined by the Hubble expansion rate of the…

高能物理 - 理论 · 物理学 2023-01-11 Amin Nassiri-Rad , Kosar Asadi , Hassan Firouzjahi

We study how both the swampland distance conjecture and the Lyth bound affect the parameter space of multi-field models of inflation. A generic feature of multi-field inflation is that the geodesic distance…

高能物理 - 理论 · 物理学 2020-02-12 Rafael Bravo , Gonzalo A. Palma , Simon Riquelme

We study multifield contributions to the scalar power spectrum in an ensemble of six-field inflationary models obtained in string theory. We identify examples in which inflation occurs by chance, near an approximate inflection point, and we…

宇宙学与河外天体物理 · 物理学 2015-06-05 Liam McAllister , Sébastien Renaux-Petel , Gang Xu

Motivated by the possibility of inflation in the cosmic landscape, which may be approximated by a complicated potential, we study the density perturbations in multi-field inflation with a random potential. The random potential causes the…

高能物理 - 理论 · 物理学 2009-04-24 S. -H. Henry Tye , Jiajun Xu , Yang Zhang

We investigate the observational signatures of many-field inflation and present analytic expressions for the spectral index as a function of the prior. For a given prior we employ the central limit theorem and the horizon crossing…

宇宙学与河外天体物理 · 物理学 2020-04-29 Perseas Christodoulidis , Diederik Roest , Robert Rosati

There are hidden observables for inflation, such as features localized in position space, which do not manifest themselves when only one inflation trajectory is considered. To address this issue, we investigate inflation dynamics in a…

高能物理 - 理论 · 物理学 2012-10-02 Francis Duplessis , Yi Wang , Robert Brandenberger

High-energy physics often motivates multi-field inflationary scenarios where stochastic effects play a crucial role. Peculiar to multi-field models, the noise-induced centrifugal force results in a longer duration of inflation depending on…

宇宙学与河外天体物理 · 物理学 2025-04-16 Tomo Takahashi , Koki Tokeshi

Hybrid inflation is a two field model where inflation ends due to an instability. In the neighborhood of the instability point, the potential is very flat and the quantum fluctuations dominate over the classical motion of the inflaton and…

宇宙学与河外天体物理 · 物理学 2015-11-25 Jerome Martin , Vincent Vennin

We construct models of inflation with many randomly interacting fields and use these to study the generation of cosmological observables. We model the potentials as multi-dimensional Gaussian random fields (GRFs) and identify powerful…

宇宙学与河外天体物理 · 物理学 2018-02-28 Theodor Bjorkmo , M. C. David Marsh

Motivated by the result of Planck+BICEP/Keck recently released, we investigate the consistency of the multi-field inflation models in terms of the spectral index $n_s$ and the tensor-to-scalar ratio $r$. In this study, we focus on…

宇宙学与河外天体物理 · 物理学 2022-08-03 Yukiyoshi Morishita , Tomo Takahashi , Shuichiro Yokoyama

We study multi-field inflation in random potentials generated via a non-equilibrium random matrix theory process. We make a novel modification of the process to include correlations between the elements of the Hessian and the height of the…

宇宙学与河外天体物理 · 物理学 2018-10-22 Sonia Paban , Robert Rosati

We study inflation in models with many interacting fields subject to randomly generated scalar potentials. We use methods from non-equilibrium random matrix theory to construct the potentials and an adaption of the 'transport method' to…

宇宙学与河外天体物理 · 物理学 2018-02-07 Mafalda Dias , Jonathan Frazer , M. C. David Marsh

While moving down the potential on its classical slow roll trajectory, the inflaton field is subject to quantum jumps, which take it up or down the potential at random. In "stochastic inflation", the impact of these quantum jumps is modeled…

高能物理 - 理论 · 物理学 2015-05-20 Larissa Lorenz

The no-boundary wave function of quantum gravity usually assigns only very small probability to long periods of inflation. This was a reason to doubt about the no-boundary wave function to explain the observational universe. We study the…

广义相对论与量子宇宙学 · 物理学 2013-10-09 Dong-il Hwang , Soo A Kim , Bum-Hoon Lee , Hanno Sahlmann , Dong-han Yeom

We study the effects of the interaction terms between the inflaton fields on the inflationary dynamics in multi-field models. With power law type potential and interactions, the total number of e-folds may get considerably reduced and can…

高能物理 - 理论 · 物理学 2014-11-18 Jinn-Ouk Gong

Based on random matrix theory, we compute the likelihood of saddles and minima in a class of random potentials that are softly bounded from above and below, as required for the validity of low energy effective theories. Imposing this bound…

高能物理 - 理论 · 物理学 2012-06-22 Diana Battefeld , Thorsten Battefeld , Sebastian Schulz

In multifield inflation driven by $d$ scalar fields, $O (d)$ symmetry renders the number of fields irrelevant at classical level. This ceases to be the case once stochastic effects are accommodated. The statistical quantities such as the…

宇宙学与河外天体物理 · 物理学 2026-05-12 Tomo Takahashi , Koki Tokeshi

There are well-known criteria on the potential and field-space geometry for determining if slow-roll, slow-turn, multi-field inflation is possible. However, even though it has been a topic of much recent interest, slow-roll, rapid-turn…

高能物理 - 理论 · 物理学 2021-03-17 Vikas Aragam , Sonia Paban , Robert Rosati
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