de Sitter limit of inflation and nonlinear perturbation theory

Details de Sitter limit of inflation and nonlinear perturbation theory de Sitter limit of inflation and nonlinear perturbation theory

2007-09-17

arxiv.org/abs/0709.2708v2

JCAP 0802:013,2008

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 1 figure; typos corrected and discussion of tensor modes added

Scientific paper

10.1088/1475-7516/2008/02/013

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 nonlinear 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.

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