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Stochastic Inflation is an important framework for understanding the physics of de Sitter space and the phenomenology of inflation. In the leading approximation, this approach results in a Fokker-Planck equation that calculates the…

高能物理 - 理论 · 物理学 2021-10-13 Timothy Cohen , Daniel Green , Akhil Premkumar , Alexander Ridgway

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.…

高能物理 - 理论 · 物理学 2026-05-14 Sebastián Céspedes , Thomas Colas

Calculating the quantum evolution of a de Sitter universe on superhorizon scales is notoriously difficult. To address this challenge, we introduce the Soft de Sitter Effective Theory (SdSET). This framework holds for superhorizon modes…

高能物理 - 理论 · 物理学 2020-12-30 Timothy Cohen , Daniel Green

We reinterpret Starobinsky's stochastic inflation as an open quantum system, where short-wavelength modes act as the environment for long-wavelength modes. Using the Schwinger-Keldysh formalism, we systematically trace out the environment…

高能物理 - 理论 · 物理学 2025-09-16 Yue-Zhou Li

For light and massless scalar fields, cosmological correlation functions suffer from infrared divergences and secular logarithms. Soft de Sitter Effective Theory (SdSET) has been proposed by Cohen and Green as the effective description of…

高能物理 - 理论 · 物理学 2026-03-11 Martin Beneke , Patrick Hager , Andrea F. Sanfilippo

We investigate when effective theories of a scalar field on (quasi-)de Sitter background break down through the stochastic formalism. We derive the Fokker-Planck equation leaving the second order time derivative of the scalar field.…

广义相对论与量子宇宙学 · 物理学 2019-05-10 Rio Saitou

Precise cosmological data from WMAP and forthcoming CMB experiments motivate the study of the quantum corrections to the slowroll inflationary parameters.We find the quantum (loop) corrections to the equations of motion of the classical…

天体物理学 · 物理学 2009-11-10 D. Boyanovsky , H. J. de Vega , N. G. Sanchez

We further develop the proposal in Phys.\ Rev.\ Lett.\ \textbf{136} 071501 that interprets stochastic inflation as an open quantum system, by constructing the open effective field theory for the reduced density matrix of long wavelength…

高能物理 - 理论 · 物理学 2026-05-22 Yue-Zhou Li

In this paper, we revisit the infrared (IR) divergences in de Sitter (dS) space using the wavefunction method, and explicitly explore how the resummation of higher-order loops leads to the stochastic formalism. In light of recent…

高能物理 - 理论 · 物理学 2024-04-05 Sebastián Céspedes , Anne-Christine Davis , Dong-Gang Wang

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…

广义相对论与量子宇宙学 · 物理学 2021-04-05 Julien Grain , Vincent Vennin

Inflationary models that contain a transient ultra-slow-roll phase can exhibit strong non-perturbative dynamics, making the usual perturbative treatment of cosmological fluctuations incomplete. In such regimes, quantum diffusion and the…

宇宙学与河外天体物理 · 物理学 2026-04-29 Xiao-Quan Ye , Shao-Jiang Wang

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…

高能物理 - 理论 · 物理学 2026-02-10 Gonzalo A. Palma , Spyros Sypsas

Transport and the approach to equilibrium in interacting classical and quantum systems is a challenging problem of both theoretical and experimental interest. One useful organizing principle characterizing equilibration is the dissipative…

统计力学 · 物理学 2024-08-27 Alexios A. Michailidis , Dmitry A. Abanin , Luca V. Delacrétaz

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…

广义相对论与量子宇宙学 · 物理学 2019-05-22 Lucas Pinol , Sébastien Renaux-Petel , Yuichiro Tada

We analyse the evolution of the reduced density matrix of inflationary perturbations, coupled to a heavy entropic field via the leading-order term within the Effective Field Theory of Inflation, for two nearly de Sitter backgrounds. We…

高能物理 - 理论 · 物理学 2024-11-14 Suddhasattwa Brahma , Jaime Calderón-Figueroa , Xiancong Luo , David Seery

We derive the stochastic description of a massless, interacting scalar field in de Sitter space directly from the quantum theory. This is done by showing that the density matrix for the effective theory of the long wavelength fluctuations…

高能物理 - 理论 · 物理学 2017-12-06 Hael Collins , Richard Holman , Tereza Vardanyan

We revisit the idea that the inflaton may have dissipated part of its energy into a thermal bath during inflation, considering monomial inflationary potentials and three different forms of dissipation rate. Using a numerical Fokker-Planck…

宇宙学与河外天体物理 · 物理学 2024-03-06 Guillermo Ballesteros , Alejandro Pérez Rodríguez , Mathias Pierre

We identify the effective theory describing inflationary super-Hubble scales and show it to be a special case of effective field theories appropriate to open systems. Open systems allow information to be exchanged between the degrees of…

高能物理 - 理论 · 物理学 2015-09-01 C. P. Burgess , R. Holman , G. Tasinato , M. Williams

Combining the stochastic and $\delta N$ formalisms, we derive non perturbative analytical expressions for all correlation functions of scalar perturbations in single-field, slow-roll inflation. The standard, classical formulas are recovered…

高能物理 - 理论 · 物理学 2016-12-01 Vincent Vennin , Alexei A. Starobinsky

We make progress towards resummation of power-suppressed logarithms in dijet event shapes such as thrust, which have the potential to improve high-precision fits for the value of the strong coupling constant. Using a newly developed…

高能物理 - 唯象学 · 物理学 2018-08-30 Raymond Goerke , Matthew Inglis-Whalen
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