The $\Phi_3^4$ measure has sub-Gaussian tails
Probability
2022-10-31 v2 Mathematical Physics
math.MP
Abstract
We provide a very simple argument showing that the 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.
Cite
@article{arxiv.2102.11685,
title = {The $\Phi_3^4$ measure has sub-Gaussian tails},
author = {Martin Hairer and Rhys Steele},
journal= {arXiv preprint arXiv:2102.11685},
year = {2022}
}