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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…

High Energy Physics - Theory · Physics 2014-11-18 Jinn-Ouk Gong

We construct analytic and numerical solutions of the Fokker-Planck equation that arises in the context of stochastic inflation. We use these solutions to derive necessary conditions for eternal inflation on the higher derivatives of the…

High Energy Physics - Theory · Physics 2019-08-14 Tom Rudelius

We consider the effect of the Gibbons-Hawking radiation on the inflaton in the situation where it is coupled to a large number of spectator fields. We argue that this will lead to two important effects - a thermal contribution to the…

General Relativity and Quantum Cosmology · Physics 2018-05-03 Malcolm Fairbairn , Tommi Markkanen , David Rodriguez-Roman

This is an old article which has never been posted for public use and which only appeard in a relatively hard-to-get Proceedings of the Sakharov Conference in Moscow (May, 1991). The subject of this article has received a lot of attention…

Astrophysics · Physics 2007-05-23 A. Mezhlumian , A. Starobinsky

Non-trivial inflaton self-interactions can yield calculable signatures of primordial non-Gaussianity that are measurable in cosmic surveys. Surprisingly, we find that the phase transition to slow-roll eternal inflation is often incalculable…

High Energy Physics - Theory · Physics 2023-05-10 Timothy Cohen , Daniel Green , Akhil Premkumar

In this work we revisit $\alpha$-Starobinsky inflation, also know as $E$-model, in the light of current CMB and LSS observations. The inflaton potential in the Einstein frame for this model contains a parameter $\alpha$ in the exponential,…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-11 Saisandri Saini , Akhilesh Nautiyal

We consider curved space quantum corrections to the equations of motion of the inflaton field in the early Universe. Using the stochastic formalism in phase space, we demonstrate that the quantum corrected evolution of the inflaton can…

High Energy Physics - Phenomenology · Physics 2009-09-25 Zygmunt Lalak , Rudolf Poppe

We develop a stochastic approach to a non de Sitter Universe in a gauge-invariant way and obtain a system of Langevin-type equations which may be considered to be renormalization group equations for the long wave parts of the scalar fields…

High Energy Physics - Theory · Physics 2008-02-03 Boris Spokoiny

An analysis of the decoherence of quantum fluctuations shows that production of classical adiabatic density perturbations may not take place in models of power-law inflation with power 1< p < 3. Some consequences for models of extended…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Milan Mijic

In the Einstein frame picture of Starobinky's $R^2$ inflation model, cosmic inflation is driven by a slowly rolling inflaton field, called scalaron, and followed by a coherently oscillating scalaron phase. Since the scalaron oscillates…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-16 Naoyuki Takeda , Yuki Watanabe

It is shown how self-reproduction can be easily avoided in the inflationary universe, even when inflation starts at Planck scales. This is achieved by a simple coupling of the inflaton potential with a mimetic field. In this case, the…

High Energy Physics - Theory · Physics 2026-01-07 Ali H. Chamseddine , Mariam Khaldieh , Viatcheslav Mukhanov

Hybrid Inflation is a two-field model where inflation ends by a tachyonic instability, the duration of which is determined by stochastic effects and has important observational implications. Making use of the recursive approach to the…

High Energy Physics - Theory · Physics 2013-11-13 Laurence Perreault Levasseur , Vincent Vennin , Robert Brandenberger

Warm inflation is commonly studied under the assumption that the stochastic force sourcing inflaton fluctuations is Markovian. Realistic thermal systems, however, possess finite relaxation times and can therefore generate colored noise with…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-13 Mayukh R. Gangopadhyay , Nilanjana Kumar

It has been suggested that low energy effective field theories should satisfy given conditions in order to be successfully embedded into string theory. In the case of a single canonically normalized scalar field this translates into…

High Energy Physics - Theory · Physics 2020-10-28 Ziwei Wang , Robert Brandenberger , Lavinia Heisenberg

We consider an inflationary universe model in which the phase of accelerated expansion was preceded by a non-singular bounce and a period of contraction which involves a phase of deceleration. We follow fluctuations which exit the Hubble…

High Energy Physics - Theory · Physics 2009-03-15 Robert Brandenberger , Xinmin Zhang

Vacuum fluctuations in the inflaton field driving chaotic inflation with a quadratic potential give a red spectrum of primordial density perturbations, n=0.97. However angular fluctuations in an O(N)-symmetric quadratic potential have a…

Astrophysics · Physics 2009-11-13 Christian T. Byrnes , David Wands

The basic workings of inflationary models are summarized, along with the arguments that strongly suggest that our universe is the product of inflation. I describe the quantum origin of density perturbations, giving a heuristic derivation of…

Astrophysics · Physics 2007-05-23 Alan H. Guth

In the present paper we discuss how trans-Planckian physics affects inflationary vacuum fluctuations and primordial density perturbations. The trans-Planckian problem during inflation has been widely discussed in literature, but it is still…

High Energy Physics - Theory · Physics 2019-08-21 Hiroki Matsui

In inflationary scenarios with more than one scalar field, inflation may proceed even if each of the individual fields has a potential too steep for that field to sustain inflation on its own. We show that scalar fields with exponential…

Astrophysics · Physics 2010-01-06 Andrew R Liddle , Anupam Mazumdar , Franz E Schunck

In the ``natural inflation'' model, the inflaton potential is periodic. We show that Planck scale physics may induce corrections to the inflaton potential, which is also periodic with a greater frequency. Such high frequency corrections…

Astrophysics · Physics 2008-11-26 Xiulian Wang , Bo Feng , Mingzhe Li , Xue-Lei Chen , Xinmin Zhang
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