TL;DR
This paper introduces a class of non-Gaussian free quantum field theories in zero-dimensional space based on cubic actions linked to simple Lie groups, expanding the understanding of free theories beyond Gaussian cases.
Contribution
It identifies and characterizes non-Gaussian free quantum field theories in 0+0 dimensions with cubic actions, utilizing a novel three-pronged Wick theorem.
Findings
Existence of non-Gaussian free theories in 0+0 dimensions.
Classification of these theories via simple Lie groups.
Application of a three-pronged Wick theorem.
Abstract
We point out the existence of a class of non-Gaussian yet free "quantum field theories" in 0+0 dimensions, based on a cubic action classified by simple Lie groups. A "three-pronged" version of the Wick theorem applies.
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