Consistency Relations for Non-Gaussianity

TL;DR

This paper derives model-independent consistency relations for non-Gaussianity in the early universe, applicable to various inflationary models, and extends these relations to higher-order correlation functions and loop corrections.

Contribution

It provides a dynamical proof of the consistency relation for 3-point functions and generalizes it to n-point functions and higher-order perturbations.

Findings

Consistency relation for 3-point correlation functions established.

Relations applicable to single and multi-field inflation, as well as curvaton scenarios.

Generalization to n-point functions and arbitrary loop orders achieved.

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 $n$-point correlation functions up to arbitrary order in perturbation theory and with arbitrary number of loops.