Perturbations in stochastic inflation

Abstract

The perturbative approach to stochastic inflation is used to determine the spectrum of density fluctuations and gravitational waves due to the coarse grained field. The amplitude of the curvature fluctuation spectrum, the spectral index and the running of the spectral index are in general found to be smaller than in the standard approach to inflation. Furthermore, the amount of non-gaussianity due to the second order perturbation is estimated.

11 pages. Section 2 revised and extended. New figures

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Cited by in corpus (25)

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• Failure of the stochastic approach to inflation beyond slow-roll
• Review on stochastic approach to inflation
• Backreaction and Stochastic Effects in Single Field Inflation
• Stochastic inflation at all order in slow-roll parameters: foundations
• Lagrangian Formulation of Stochastic Inflation: A Recursive Approach
• Quantum Diffusion in Sharp Transition to Non-Slow-Roll Phase
• Numerical stochastic inflation constrained by frozen noise
• Stochastic non-attractor inflation
• Numerically modeling stochastic inflation in slow-roll and beyond
• Revisiting Magnetogenesis during Inflation
• Stochastic Effects in Anisotropic Inflation
• Smooth coarse-graining and colored noise dynamics in stochastic inflation
• Boundary Crossing in Stochastic Inflation with Critical Number of Fields
• Stochastic collapse
• Inflation with Stochastic Boundary
• Stochastic Inflation and Replica Field Theory
• Stochastic approach to gravitational waves from inflation
• Classicality of Stochastic Noise Away From Quasi-de Sitter Inflation
• Stochastic Inflation with Interacting Noises
• Deviations from Gaussian White Noise in Stochastic Inflation