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Veerm¨ ae,A non-perturbative framework for N-point functions of locally non-Gaussian fields,2602.10151

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abstract

We present a non-perturbative approach to correlation functions and polyspectra of locally non-Gaussian fields and develop a semi-perturbative framework that does not rely on a local expansion. This enables the computation of $N$-point functions of non-Gaussian fields even when the mapping between the auxiliary Gaussian field $\zeta_{\rm G}$ and the non-Gaussian field $\zeta({\bf x}) = F(\zeta_{\rm G}({\bf x}))$ is non-analytic. As an example, we consider non-Gaussian fields with exponentially tailed distributions, which can arise, for instance, in ultra-slow-roll models of inflation, and derive some exact analytic results in the strongly non-Gaussian regime.

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2026 2

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