The de Sitter limit of inflation and non-linear perturbation theory

2007/09/30 by Philip R. Jarnhus, Philip R Jarnhus, Martin S. Sloth · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1088/1475-7516/2008/02/013

published as JCAP 0802:013,2008 · 14 pages, 1 figure; typos corrected and discussion of tensor modes added

arxiv created 2007/12/05 · openalex publication_date 2008/02/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We study the fourth-order action of the comoving curvature perturbation in an inflationary universe in order to understand more systematically the de Sitter limit in non-linear cosmological perturbation theory. We derive the action of the curvature perturbation to fourth order in the comoving gauge, and show that it vanishes sufficiently fast in the de Sitter limit. By studying the de Sitter limit, we then extrapolate to the n th-order action of the comoving curvature perturbation and discuss the slow-roll order of the n -point correlation function.

Citations

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Non-Gaussianity from Inflation: Theory and Observations

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