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The stochastic inflation program is a framework for understanding the dynamics of a quantum scalar field driving an inflationary phase. Though widely used and accepted, there have over recent years been serious criticisms of this theory. In…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Andrew Matacz

One of the most important achievements of inflationary cosmology is to predict a departure from scale invariance of the power spectrum for scalar curvature cosmological fluctuations. This tilt is understood as a consequence of a quasi de…

High Energy Physics - Theory · Physics 2021-10-25 Cesar Gomez , Raul Jimenez

An appealing feature of inflationary cosmology is the presence of a phase-space attractor, "slow roll", which washes out the dependence on initial field velocities. We investigate the robustness of this property under backreaction from…

General Relativity and Quantum Cosmology · Physics 2021-04-05 Julien Grain , Vincent Vennin

In this work, we investigate inflationary cosmology using scalar field theory deformed by the generalized uncertainty principle (GUP) containing a linear momentum term. Apart from being consistent with the existence of a minimum measurable…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Ahmed Farag Ali , Mir Faizal , Mohammed M. Khalil

We explore non-adiabatic particle production in a de Sitter universe for a scalar spectator field, by allowing the effective mass $m^2(t)$ of this field and the cosmic time interval between non-adiabatic events to vary stochastically. Two…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-15 Marcos A. G. Garcia , Mustafa A. Amin , Scott G. Carlsten , Daniel Green

We build an effective field theory of multi-field inflationary fluctuations based on the adiabatic perturbation and on any number of matter fluctuations in the non-adiabatic sector, without imposing extra symmetries on the latter. Focusing…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-06 Lucas Pinol

Perturbative quantum field theory (QFT) calculations in de Sitter space are riddled with contributions that diverge over time. These contributions often arise from loop integrals, which are notoriously hard to compute in de Sitter. We…

High Energy Physics - Theory · Physics 2024-02-05 Akhil Premkumar

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

We study the effective dynamics of an open scalar field interacting with a strongly-coupled two-dimensional rotating CFT plasma. The effective theory is determined by the real-time correlation functions of the thermal plasma. We employ…

High Energy Physics - Theory · Physics 2021-09-10 Bidisha Chakrabarty , P. M. Aswin

We present a method to compute the two-point functions for an $O(N)$ scalar field model in de Sitter spacetime, avoiding the well known infrared problems for massless fields. The method is based on an exact treatment of the Euclidean zero…

High Energy Physics - Theory · Physics 2016-11-01 Diana López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta

The methods of effective field theory are used to study generic theories of inflation with a single inflaton field. For scalar modes, the leading corrections to the ${\cal R}$ correlation function are found to be purely of the $k$-inflation…

High Energy Physics - Theory · Physics 2008-11-26 Steven Weinberg

An important insight from the study of AdS/CFT is that bulk locality can be derived from crossing symmetry of the boundary CFT. In this paper, we take the first steps in extending this statement to de Sitter background by demonstrating how…

High Energy Physics - Theory · Physics 2025-08-22 Parijat Dey , Zhongjie Huang , Arthur Lipstein

By making a suitable generalization of the Starobinsky stochastic inflation, we propose a classical phase space formulation of stochastic inflation which may be used for a quantitative study of decoherence of cosmological perturbations…

General Relativity and Quantum Cosmology · Physics 2012-01-04 Jan Weenink , Tomislav Prokopec

The stochastic dynamics of a scalar field in de Sitter spacetime can be regarded as a non-perturbative diffusion process, to which exact distribution and correlation functions are constructed by utilising the correspondence between…

High Energy Physics - Theory · Physics 2025-11-26 Yuta Nasuda , Koki Tokeshi , Yuki Watanabe

A long-standing problem in primordial cosmology is to understand the precise relation between the stochastic formalism and standard perturbation theory for light scalar fields in inflationary spacetimes. A complete correspondence between…

High Energy Physics - Theory · Physics 2026-02-10 Gonzalo A. Palma , Spyros Sypsas

We revisit the problem of spontaneous symmetry breaking (SSB), its restoration, and phase transition for a self interacting quantum scalar field in a general curved background, at zero and finite temperature. To the best of our knowledge,…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Vishal Nath , Sourav Bhattacharya

We investigate scalar field theories in de Sitter space by means of nonperturbative renormalization group techniques. We compute the functional flow equation for the effective potential of O(N) theories in the local potential approximation…

High Energy Physics - Theory · Physics 2015-10-14 Maxime Guilleux , Julien Serreau

Understanding stochastic inflation, and in particular the systematic computation of controlled corrections from first principles, remains an important open problem. In this work, we address this problem from two complementary perspectives.…

High Energy Physics - Theory · Physics 2026-05-14 Sebastián Céspedes , Thomas Colas

The effective field theory (EFT) of inflation provides a natural framework to study the new physical effects on primordial perturbations. Recently a healthy extension of the EFT of inflation with high-order operators has been proposed,…

High Energy Physics - Theory · Physics 2019-10-01 Jin Qiao , Guang-Hua Ding , Qiang Wu , Tao Zhu , Anzhong Wang

We study the dynamics of light quantum scalar fields in de Sitter space on superhorizon scales. We compute the self-energy of an O(N) symmetric theory at next-to-leading order in a 1/N expansion in the regime of superhorizon momenta, and we…

High Energy Physics - Theory · Physics 2015-12-09 Florian Gautier , Julien Serreau