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arXiv · 2102.11685

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

Martin Hairer·Rhys Steele
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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.

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Martin Hairer, Rhys Steele. 2021-02-23. The $\Phi_3^4$ measure has sub-Gaussian tails. https://doi.org/10.1007/s10955-021-02866-3

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