Reliability of the Langevin perturbative solution in stochastic inflation

2005/11/29 by Jerome Martin, Jérôme Martin, Marcello Musso · 2 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Field (mathematics) #Inflation (cosmology) #Langevin equation #Mathematics #Physics #Quantum mechanics #Reliability (semiconductor) #Statistical physics #Stochastic processes and financial applications #Theoretical physics #astro-ph #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.73.043517

published as Phys.Rev.D73:043517,2006 · 7 pages, 3 figures

arxiv created 2005/11/29 · openalex publication_date 2006/02/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A method to estimate the reliability of a perturbative expansion of the stochastic inflationary Langevin equation is presented and discussed. The method is applied to various inflationary scenarios, as large field, small field, and running mass models. It is demonstrated that the perturbative approach is more reliable than could be na"\ively suspected and, in general, only breaks down at the very end of inflation.

Citations

• Birth of inflationary universes
• A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems
• Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking
• Chaotic inflation

Cited by

• A new algorithm for calculating the curvature perturbations in stochastic inflation
• Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity