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

References in corpus (5)

• Breakdown of Semiclassical Methods in de Sitter Space
• The curvature perturbation in a box
• ${\varphi }^4$ inflation is not excluded
• Evidence for horizon-scale power from CMB polarization
• Stochastic Inflation and Dimensional Reduction

Cited by in corpus (1)

• Inflationary Infrared Divergences: Geometry of the Reheating Surface vs. delta N Formalism