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

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.