On Resumming Inflationary Perturbations beyond One-loop
High Energy Physics - Phenomenology
2008-11-26 v2 Astrophysics
High Energy Physics - Theory
Abstract
It is well known that the correlation functions of a scalar field in a quasi-de Sitter space exhibit at the loop level cumulative infra-red effects proportional to the total number of e-foldings of inflation. Using the in-in formalism, we explore the behavior of these infra-red effects in the large N limit of an O(N) invariant scalar field theory with quartic self-interactions. By resumming all higher-order loop diagrams non-perturbatively, we show that the connected four-point correlation function, which is a signal of non-Gaussianity, is non-perturbatively enhanced with respect to its tree-level value.
Cite
@article{arxiv.0801.1845,
title = {On Resumming Inflationary Perturbations beyond One-loop},
author = {Antonio Riotto and Martin S. Sloth},
journal= {arXiv preprint arXiv:0801.1845},
year = {2008}
}
Comments
17 pages, v2: minor corrections, to appear in jcap