The ${\Phi }_3^4$ measure has sub-Gaussian tails

Abstract

We provide a very simple argument showing that the ${\Phi }_3^4$ 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.

Cited by in corpus (2)

• An SPDE approach to perturbation theory of ${\Phi }_2^4$: asymptoticity and short distance behavior
• A simple construction of the dynamical ${\Phi }_3^4$ model