有限规范群格点规范理论中的Wilson圈期望
Wilson loop expectations in lattice gauge theories with finite gauge groups
摘要：
本文计算了具有有限规范群的四维格点规范理论在弱耦合下的Wilson环期望，并给出了一阶的计算结果。这是Chatterjee最近工作的继续，他考虑了规范群$\mathbb{Z}_2$的情况。其主要步骤是：（1）将一阶计算归结为泊松近似问题;（2）用Stein方法进行泊松近似。
英文摘要：
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.
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