A non-perturbative framework for N-point functions of locally non-Gaussian fields

TL;DR

This paper introduces a non-perturbative framework for calculating N-point functions of locally non-Gaussian fields, providing exact results in strongly non-Gaussian regimes without relying on local expansions.

Contribution

It develops a semi-perturbative, non-perturbative approach to correlation functions that works beyond local expansions, especially for fields with exponential tails.

Findings

Derived exact analytic results for strongly non-Gaussian fields

Developed a semi-perturbative framework applicable to non-Gaussian fields

Provided insights into correlation functions without perturbative assumptions

Abstract

We present a non-perturbative approach to correlation functions and polyspectra of locally non-Gaussian fields and develop a simple semi-perturbative framework that does not rely on the local expansion. As an example, we apply it to locally non-Gaussian fields possessing exponential tails and derive some exact analytic results in the strongly non-Gaussian limit.