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arXiv · 2211.03424

Wilson lines in the lattice Higgs model at strong coupling

Malin P. Forsström·Jonatan Lenells·Fredrik Viklund
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Abstract

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.

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Malin P. Forsström, Jonatan Lenells, Fredrik Viklund. 2022-11-07. Wilson lines in the lattice Higgs model at strong coupling. https://arxiv.org/abs/2211.03424

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