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We adopt methods from statistical field theory to stochastic inflation. For the example of a free test field in de Sitter and power-law inflation, the power spectrum of long-wavelength fluctuations is computed. We study its dependence on…

广义相对论与量子宇宙学 · 物理学 2011-02-01 Florian Kuhnel , Dominik J. Schwarz

Recently, the nonperturbative quantization scheme of loop quantum gravity has been extended to the Brans-Dicke theory and the corresponding loop quantum Brans-Dicke cosmology has been derived, which provides an essential platform to explore…

广义相对论与量子宇宙学 · 物理学 2019-02-15 Wei-Jian Jin , Yongge Ma , Tao Zhu

We revisit the Lagrangian formulation of stochastic inflation, where the path-integral approach is employed to derive the Langevin equation governing the dynamics of long-wavelength fields, in contrast to the standard method where the…

高能物理 - 理论 · 物理学 2025-10-06 Rajat Kumar Panda , Sukanta Panda , Abbas Tinwala

We show how the inclusion of non-perturbative, {\em dynamical} quantum effects on the evolution of the inflaton can allow for an inflationary phase that is both consistent with cosmological constraints {\em and} avoids the problems…

高能物理 - 理论 · 物理学 2019-05-15 R. Holman , B. Richard

In this work we study four well-known inflationary scenarios that are reported by the most recent Planck observations: Natural inflation, Hilltop quartic inflation, Starobinsky inflationary model, and Large field power-law potentials…

广义相对论与量子宇宙学 · 物理学 2024-04-30 Daniel Pozo , Jordan Zambrano , Ismael Villegas , Rafael Hernández-Jiménez , Clara Rojas

The aim of this paper is to provide a more precise description of the paradigm of corpuscular slow-roll inflation, which was previously introduced by Casadio et al. in [1]. Specifically, we start by expanding the Starobinsky theory on a…

广义相对论与量子宇宙学 · 物理学 2019-09-04 Andrea Giugno , Andrea Giusti

Inflation is a necessary cosmic mechanism to cure basic inconsistencies of the standard model of cosmology. These problems are usually `fixed' by postulating the existence of a scalar field (called the ``inflaton''). However, other less ad…

广义相对论与量子宇宙学 · 物理学 2026-01-16 Joan Solà Peracaula , Àlex González-Fuentes , Cristian Moreno-Pulido

According to the Brans--Dicke theory, the value of the gravitational constant G which we measure at present is determined by the value of the Brans--Dicke scalar field \phi at the end of inflation. However, due to quantum fluctuations of…

天体物理学 · 物理学 2009-09-29 Juan Garcia-Bellido , Andrei Linde , Dmitri Linde

We consider a novel model of cosmic inflation. In our model one does not need any specific matter field to drive inflation, but inflation stems from the microscopic, Planck scale structure of spacetime, thus being of quantum gravitational…

广义相对论与量子宇宙学 · 物理学 2014-08-28 Jarmo Mäkelä

Models of inflationary cosmology can lead to variation of observable parameters ("constants of Nature") on extremely large scales. The question of making probabilistic predictions for today's observables in such models has been investigated…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Vitaly Vanchurin , Alexander Vilenkin , Serge Winitzki

Slow-roll inflation can be studied as an effective field theory. The form of the inflaton potential consistent with the data is V(phi) = N M^4 w(phi/[sqrt{N} M_{Pl}]) where phi is the inflaton field, M is the inflation energy scale, and N ~…

天体物理学 · 物理学 2007-05-23 D. Boyanovsky , H. J. de Vega , N. G. Sanchez

There is considerable interest in inflationary models with multiple inflaton fields. The inflaton field $\boldsymbol\phi$ that has been postulated to drive accelerating expansion in the very early universe has a corresponding potential $V$,…

宇宙学与河外天体物理 · 物理学 2024-02-01 Connor A. Painter , Emory F. Bunn

An inflationary scenario driven by a slow rolling homogeneous scalar field whose potential $V(\Phi)$ is given by a generalized exponential function is discussed. Within the {\sl slow-roll} approximation we investigate some of the main…

天体物理学 · 物理学 2008-11-26 J. S. Alcaniz , F. C. Carvalho

If the Universe contains at least one inflationary domain with a sufficiently large and homogeneous scalar field, then this domain permanently produces new inflationary domains of all possible types. We show that under certain conditions…

广义相对论与量子宇宙学 · 物理学 2009-09-29 Andrei Linde , Arthur Mezhlumian

The scale invariance of the universe is slightly broken by slow roll parameters. It is likely the slow roll is dual to the random walk. We investigate the distribution function of the conformal zeromode. We identify de Sitter entropy…

高能物理 - 理论 · 物理学 2022-06-16 Yoshihisa Kitazawa

The Friedmann-Robertson-Walker (FRW) cosmology is analyzed with a general potential $\rm V(\phi)$ in the scalar field inflation scenario. The Bohmian approach (a WKB-like formalism) was employed in order to constraint a generic form of…

广义相对论与量子宇宙学 · 物理学 2019-05-01 Omar E. Núñez , J. Socorro , Rafael Hernández-Jiménez

We develop a frame-covariant formulation of inflation in the slow-roll approximation by generalizing the inflationary attractor solution for scalar-curvature theories. Our formulation gives rise to new generalized forms for the potential…

高能物理 - 唯象学 · 物理学 2016-06-22 Daniel Burns , Sotirios Karamitsos , Apostolos Pilaftsis

We consider the one-dimensional Vlasov equation with an attractive cosine potential, and its non homogeneous stationary states that are decreasing functions of the energy. We show that in the Sobolev space $W^{1,p}$ ($p>2$) neighborhood of…

数学物理 · 物理学 2013-11-14 Julien Barre , Yoshiyuki Y. Yamaguchi

Transitions between different inflationary slow-roll scenarios are known to provide short non-slow-roll periods with non-trivial consequences. We consider the effect of quantum diffusion on the inflationary dynamics in a transition process.…

广义相对论与量子宇宙学 · 物理学 2022-09-07 Nahid Ahmadi , Mahdiyar Noorbala , Niloufar Feyzabadi , Fatemeh Eghbalpoor , Zahra Ahmadi

Inflation in cosmology is a specific stage preceding the Big Bang, aimed at solving both old background problems and new perturbation issues. Single-field inflation is a candidate to illustrate the picture of the initial universe, and…

宇宙学与河外天体物理 · 物理学 2025-05-21 Guanqiao Liu