The Inflationary Trispectrum for Models with Large Non-Gaussianities

Details The Inflationary Trispectrum for Models with Large Non-Gaussianities The Inflationary Trispectrum for Models with Large Non-Gaussianities

2006-10-22

arxiv.org/abs/hep-th/0610235v5

Phys.Rev.D74:121301,2006

Physics

High Energy Physics

High Energy Physics - Theory

v2: 5 pages, journal version. v3, v4: formulae for the momentum dependence of trispectrum corrected, main conclusions remain u

Scientific paper

10.1103/PhysRevD.74.121301

We compute the leading order contribution to the four-point function of the primordial curvature perturbation in a class of single field models where the inflationary Lagrangian is a general function of the inflaton and its first derivative. This class of models includes string motivated inflationary models such as DBI inflation. We find that the trispectrum for some range of parameters could potentially be observed in future experiments. Moreover, the trispectrum can distinguish DBI inflation from other inflation models with large non-Gaussianities which typically have a similar bispectrum. We also derive a set of consistency conditions for n-point functions of the primordial curvature perturbation in single field inflation, generalizing Maldacena's result for 3-point functions.

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