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arXiv · 2501.10662

Analyzing the Higgs-confinement transition with non-local operators on the lattice

Yusuke Shimada·Arata Yamamoto
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Abstract

We study non-local operators for analyzing the Higgs-confinement phase transition in lattice gauge theory. Since the nature of the Higgs-confinement phase transition is topological, its order parameter is the expectation value of non-local operators, such as loop and surface operators. There exist several candidates for the non-local operators. Adopting the charge-2 Abelian Higgs model, we test numerical simulation of conventional ones, the Polyakov loop and the 't Hooft loop, and an unconventional one, the Aharonov-Bohm phase defined by the Wilson loop wrapping around a vortex line.

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Yusuke Shimada, Arata Yamamoto. 2025-01-18. Analyzing the Higgs-confinement transition with non-local operators on the lattice. https://doi.org/10.1093/ptep%2Fptaf046

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