Phase transitions in de Sitter spacetimes: the stochastic formalism
File(s)
Published version
Author(s)
Camargo-Molina, Jose Eliel
Rajantie, Arttu
Type
Journal Article
Abstract
The stochastic spectral expansion method offers a simple framework for calculations in de Sitter spacetimes. We show how to extend its reach to metastable vacuum states, both in the case when the potential is bounded from below, and when it is unbounded from below and therefore no stable vacuum state exists. In both cases, the decay rate of the metastable vacuum is given by the lowest nonzero eigenvalue associated to the Fokker–Planck equation. We show how the corresponding eigenfunction determines the field probability distribution which can be used to compute correlation functions and other observables in the metastable vacuum state.
Date Issued
2023-05-15
Date Acceptance
2023-04-20
Citation
Physical Review D, 2023, 107 (10)
ISSN
2470-0010
Publisher
American Physical Society
Journal / Book Title
Physical Review D
Volume
107
Issue
10
Copyright Statement
Published by the American Physical Society Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by Bibsam.
License URL
Subjects
Astronomy & Astrophysics
Physical Sciences
Physics
Physics, Particles & Fields
Science & Technology
Publication Status
Published
Article Number
103504
Date Publish Online
2023-05-05