论文标题

Wilson Loop循环期望与有限量表组的晶格计理论的期望

Wilson loop expectations in lattice gauge theories with finite gauge groups

论文作者

Cao, Sky

论文摘要

Wilson循环在弱耦合处的期望被计算为一阶,对于具有有限量规组的四维晶格规定理论,可以满足一些轻度的额外条件。这延续了Chatterjee的最新工作,该工作考虑了Gauge Group $ \ Mathbb {Z} _2 $的情况。主要步骤是(1)将一阶计算减少到泊松近似问题,(2)使用Stein的方法执行泊松近似。

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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