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Stochastic Inflation at NNLO

Cohen, Timothy ; Green, Daniel ; Premkumar, Akhil ; Ridgway, Alexander

The journal of high energy physics, 2021-09, Vol.2021 (9), p.1-57, Article 159 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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Título:
Stochastic Inflation at NNLO
Autor: Cohen, Timothy ; Green, Daniel ; Premkumar, Akhil ; Ridgway, Alexander
Assuntos: Classical and Quantum Gravitation ; Cosmology ; Cosmology of Theories beyond the SM ; Effective Field Theories ; Eigenvalues ; Elementary Particles ; Fokker-Planck equation ; High energy physics ; Initial conditions ; Mathematical analysis ; Operators (mathematics) ; Phenomenology ; Physics ; Physics and Astronomy ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; Probability distribution ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Renormalization Group ; Scalars ; String Theory
É parte de: The journal of high energy physics, 2021-09, Vol.2021 (9), p.1-57, Article 159
Notas: SC0011640; SC0019035
USDOE Office of Science (SC), High Energy Physics (HEP)
Descrição: A bstract 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 probability distribution for a light scalar field as a function of time. Despite its successes, the quantum field theoretic origins and the range of validity for this equation have remained elusive, and establishing a formalism to systematically incorporate higher order effects has been an area of active study. In this paper, we calculate the next-to-next-to-leading order (NNLO) corrections to Stochastic Inflation using Soft de Sitter Effective Theory (SdSET). In this effective description, Stochastic Inflation manifests as the renormalization group evolution of composite operators. The leading impact of non-Gaussian quantum fluctuations appears at NNLO, which is presented here for the first time; we derive the coefficient of this term from a two-loop anomalous dimension calculation within SdSET. We solve the resulting equation to determine the NNLO equilibrium distribution and the low-lying relaxation eigenvalues. In the process, we must match the UV theory onto SdSET at one-loop order, which provides a non-trivial confirmation that the separation into Wilson-coefficient corrections and contributions to initial conditions persists beyond tree level. Furthermore, these results illustrate how the naive factorization of time and momentum integrals in SdSET no longer holds in the presence of logarithmic divergences. It is these effects that ultimately give rise to the renormalization group flow that yields Stochastic Inflation.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglês

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Stochastic Inflation at NNLO

Cohen, Timothy ; Green, Daniel ; Premkumar, Akhil ; Ridgway, Alexander

Berlin/Heidelberg: Springer Berlin Heidelberg

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