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

By Antonio de Felice, S. Tsujikawa. 2011

156 citations recorded by the source corpus.

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 f{sub NL}{sup equil} is derived on the quasi-de Sitter background, where the slow-variation parameters are much smaller than unity. We apply our formula for f{sub NL}{sup equil} 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5520a3c989e5bbd1ad9530a5b446c7e13bf3543a

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Citations in the corpus

Essential Building Blocks of Dark Energy (2013, background): “which confirms [34,35] in the case of generalised Galileon theories.”
Horndeski theory and beyond: a review (2019, background): “The cubic action for the scalar perturbations in the Horndeski theory is given in [77, 78].”
Effective field theory approach to quasi-single field inflation and effects of heavy fields (2012, background): “Then, the bispectra of primordial curvature [10–15] and tensor perturbations [16, 17] are obtained as well as their powerspectra [4].”