论文标题
晶格希格斯模型中的威尔逊线在强耦合处
Wilson lines in the lattice Higgs model at strong coupling
论文作者
论文摘要
我们考虑具有Wilson Action的4D固定长度晶格HIGGS模型，用于量规场和结构组$ \ MATHBB {Z} _n $。我们在强耦合方面研究Wilson线可观测值，并通过错误估计来计算其渐近行为。我们的分析基于晶格希格斯与泊松近似结合的高温表示。我们还简短地证明了威尔逊线（和循环）期望的民间传说结果，每当希格斯田间耦合恒定是积极的，都会表现出周边定律的衰减。
We consider the 4D fixed length lattice Higgs model with Wilson action for the gauge field and structure group $\mathbb{Z}_n$. We study Wilson line observables in the strong coupling regime and compute their asymptotic behavior with error estimates. Our analysis is based on a high-temperature representation of the lattice Higgs measure combined with Poisson approximation. We also give a short proof of the folklore result that Wilson line (and loop) expectations exhibit perimeter law decay whenever the Higgs field coupling constant is positive.
