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Inflationary non-Gaussianities in the most general second-order scalar-tensor theories

Antonio De Felice and Shinji Tsujikawa

  • Department of Physics, Faculty of Science, Tokyo University of Science, 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan

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Phys. Rev. D 84, 083504 – Published 7 October, 2011

DOI: https://doi.org/10.1103/PhysRevD.84.083504

Abstract

For very general scalar-field theories in which the equations of motion are at second order, we evaluate the three-point correlation function of primordial scalar perturbations generated during inflation. We show that the shape of non-Gaussianities is well approximated by the equilateral type. The equilateral nonlinear parameter fNLequil is derived on the quasi-de Sitter background, where the slow-variation parameters are much smaller than unity. We apply our formula for fNLequil to a number of single-field models of inflation—such as k-inflation, k-inflation with Galileon terms, potential-driven Galileon inflation, nonminimal coupling models (including field-derivative coupling models), and Gauss-Bonnet gravity.

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Phys. Rev. D 84, 083504– Published 7 October, 2011
  • Received 22 July 2011

© 2011 American Physical Society

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