Large-Scale Suppression from Stochastic Inflation

Abstract

We show non-perturbatively that the power spectrum of a self-interacting scalar field in de Sitter space-time is strongly suppressed on large scales. The cut-off scale depends on the strength of the self-coupling, the number of e-folds of quasi-de Sitter evolution, and its expansion rate. As a consequence, the two-point correlation function of field fluctuations is free from infra-red divergencies.

4 pages, 1 figure; v2 minor changes to match published PRL version

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Cited by in corpus (12)

• Planck 2018 results. X. Constraints on inflation
• Planck 2013 results. XXII. Constraints on inflation
• Correlation Functions in Stochastic Inflation
• Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space
• On the modification of the cosmic microwave background anisotropy spectrum from canonical quantum gravity
• Effective long wavelength scalar dynamics in de Sitter
• Inflationary Correlation Functions without Infrared Divergences
• Inflationary Infrared Divergences: Geometry of the Reheating Surface vs. delta N Formalism
• Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
• On Stochastic Effects and Primordial Black-Hole Formation
• Testing the Origin of the CMB Large-Angle Correlation Deficit with a Galaxy Imaging Survey
• Non-equilibrium evolution of quantum fields during inflation and late accelerating expansion