WILSON LINES IN THE LATTICE HIGGS MODEL AT STRONG COUPLING
Journal article, 2025

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.

Lattice gauge theory

Wilson loops

Wilson lines

high temperature expansion

Author

Malin Palö Forsström

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Fredrik Viklund

Royal Institute of Technology (KTH)

Annals of Applied Probability

1050-5164 (ISSN)

Vol. 35 1 590-634

Subject Categories (SSIF 2025)

Subatomic Physics

DOI

10.1214/24-AAP2122

More information

Latest update

3/25/2025