Wilson loop expectations at weak coupling are computed to first order, for four dimensional lattice gauge theories with finite gauge groups which satisfy some mild additional conditions. This continues recent work of Chatterjee, which considered the case of gauge group $\mathbb{Z}_2$. The main steps are (1) reducing the first order computation to a problem of Poisson approximation, and (2) using Stein's method to carry out the Poisson approximation.

中文翻译：

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有限规范群格规范理论中的威尔逊环期望

对于具有满足一些温和附加条件的有限规范群的四维格子规范理论，弱耦合下的威尔逊环期望被计算为一阶。这延续了 Chatterjee 最近的工作，它考虑了规范群 $\mathbb{Z}_2$ 的情况。主要步骤是 (1) 将一阶计算简化为泊松逼近问题，以及 (2) 使用 Stein 方法进行泊松逼近。