The $$\Phi _3^4$$ Measure Has Sub-Gaussian Tails

Abstract

AbstractWe provide a very simple argument showing that the $$\Phi ^4_3$$ Φ 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.