WILSON LINES IN THE LATTICE HIGGS MODEL AT STRONG COUPLING

• 成果类型: Article
• 署名作者: Forsstrom, Malin p.; Lenells, Jonatan; Viklund, Fredrik
• 署名单位: Chalmers University of Technology; Royal Institute of Technology
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/24-AAP2122
• 发表日期: 2025
• 页码: 590-634
• 关键词: gauge-theories

摘要

We consider the 4D fixed length lattice Higgs model with Wilson action for the gauge field and structure group Zn. 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.