A Naturally Large Four-Point Function in Single Field Inflation

Details A Naturally Large Four-Point Function in Single Field Inflation A Naturally Large Four-Point Function in Single Field Inflation

2010-04-07

arxiv.org/abs/1004.1201v2

JCAP 1101:003,2011

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 1 figure. v2: extended discussion on near-de-Sitter models

Scientific paper

10.1088/1475-7516/2011/01/003

Non-Gaussianities of the primordial density perturbations have emerged as a very powerful possible signal to test the dynamics that drove the period of inflation. While in general the most sensitive observable is the three-point function in this paper we show that there are technically natural inflationary models where the leading source of non-Gaussianity is the four-point function. Using the recently developed Effective Field Theory of Inflation, we are able to show that it is possible to impose an approximate parity symmetry and an approximate continuos shift symmetry on the inflaton fluctuations that allow, when the dispersion relation is of the form $\omega\sim c_s k$, for a unique quartic operator, while approximately forbidding all the cubic ones. The resulting shape for the four-point function is unique. In the models where the dispersion relation is of the form $\omega\sim k^2/M$ a similar construction can be carried out and additional shapes are possible.

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