The $\Phi_3^4$ measure has sub-Gaussian tails

TL;DR

This paper demonstrates that the $\

Contribution

It offers a straightforward proof that the $\

Findings

The $\

The measure has quartic exponential tails.

The moment problem is well-posed.

Abstract

We provide a very simple argument showing that the $\Phi^4_3$ measure does have quartic exponential tails, as expected from its formal expression. This shows that the corresponding moment problem is well-posed and provides a simple path to observing non-Gaussianity of the measure.