Single field consistency relation for the 3-point function
Astrophysics
2009-11-10 v2 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We point out the existence of a consistency relation involving the 3-point function of scalar perturbations which is valid in any inflationary model, independently of the inflaton Lagrangian under the assumption that the inflaton is the only dynamical field. The 3-point function in the limit in which one of the momenta is much smaller than the other two is fixed in terms of the power spectrum and its tilt. This relation, although very hard to verify experimentally, could be easily proved wrong by forecoming data, thus ruling out any scenario with a single dynamical field in a model independent way.
Keywords
Cite
@article{arxiv.astro-ph/0407059,
title = {Single field consistency relation for the 3-point function},
author = {Paolo Creminelli and Matias Zaldarriaga},
journal= {arXiv preprint arXiv:astro-ph/0407059},
year = {2009}
}
Comments
4 pages. v2: reference added, matches published version