English

Consistency Relations for Non-Gaussianity

High Energy Physics - Theory 2009-02-09 v3 Astrophysics General Relativity and Quantum Cosmology

Abstract

We investigate consistency relations for non-Gaussianity. We provide a model-independent dynamical proof for the consistency relation of 3-point correlation functions from the Hamiltonian and field redefinition. This relation can be applied to single field inflation, multi-field inflation and the curvaton scenario. This relation can also be generalized to nn-point correlation functions up to arbitrary order in perturbation theory and with arbitrary number of loops.

Keywords

Cite

@article{arxiv.0807.3058,
  title  = {Consistency Relations for Non-Gaussianity},
  author = {Miao Li and Yi Wang},
  journal= {arXiv preprint arXiv:0807.3058},
  year   = {2009}
}

Comments

18 pages. v2 and v3: references added

R2 v1 2026-06-21T11:02:20.117Z