On Resumming Inflationary Perturbations beyond One-loop

Details On Resumming Inflationary Perturbations beyond One-loop On Resumming Inflationary Perturbations beyond One-loop

2008-01-11

arxiv.org/abs/0801.1845v2

JCAP0804:030,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, v2: minor corrections, to appear in jcap

Scientific paper

10.1088/1475-7516/2008/04/030

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.

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