The structure of correlation functions in single field inflation

Details The structure of correlation functions in single field inflation The structure of correlation functions in single field inflation

2008-12-03

arxiv.org/abs/0812.0818v3

Phys.Rev.D79:123518,2009

Astronomy and Astrophysics

Astrophysics

21 Pages, fixed typo in arXiv title; added reference

Scientific paper

10.1103/PhysRevD.79.123518

Many statistics available to constrain non-Gaussianity from inflation are simplest to use under the assumption that the curvature correlation functions are hierarchical. That is, if the n-point function is proportional to the (n-1) power of the two-point function amplitude and the fluctuations are small, the probability distribution can be approximated by expanding around a Gaussian in moments. However, single-field inflation with higher derivative interactions has a second small number, the sound speed, that appears in the problem when non-Gaussianity is significant and changes the scaling of correlation functions. Here we examine the structure of correlation functions in the most general single scalar field action with higher derivatives, formalizing the conditions under which the fluctuations can be expanded around a Gaussian distribution. We comment about the special case of the Dirac-Born-Infeld action.

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