Wilson loops in finite Abelian lattice gauge theories

Wilson Loop Expectations for Non-Abelian Gauge Fields Coupled to a Higgs Boson at Low and High Disorder

We consider computations of Wilson loop expectations to leading order at large $β$ in the case where a non-abelian gauge field interacts with a Higgs boson. By identifying the main order contributions from minimal vortices, we can express the Wilson loop expectations via an explicit Poisson random variable. This paper treats multiple cases of interests, including the Higgs boson at low and high disorder, and finds efficient polymer expansion like computations for each of these regimes.

阿贝尔格点希格斯模型中的威尔逊环

Wilson loops in the abelian lattice Higgs model

本文在四维格点上研究结构群为 $\mathbb{Z}_n$ 的阿贝尔希格斯模型，在规范耦合常数和跳跃参数足够大时计算威尔逊环期望值的主阶项，并通过构造与更简单的 $\mathbb{Z}_n$ 模型的耦合完成证明。

Wilson loop expectations in lattice gauge theories with finite gauge groups

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.

带电紧凑阿贝尔晶格希格斯模型中的相变

Phase transitions in the charged compact abelian lattice Higgs model

该研究通过带电威尔逊环观测量和马库-弗雷德亨亨比率揭示了带电紧凑阿贝尔晶格希格斯模型中不同相变的区分机制。

阿贝尔格点Higgs模型中的Wilson线

Wilson lines in the Abelian lattice Higgs model

本文扩展了先前的研究，计算了阿贝尔格点Higgs模型中更一般的Wilson线观测值期望值的主阶项，并验证了物理学家预测的期望值自然比值行为。