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arXiv · 2006.02886

't Hooft surface in lattice gauge theory

Takuya Shimazaki·Arata Yamamoto
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Abstract

We discuss the lattice formulation of the 't Hooft surface, that is, the two-dimensional surface operator of a dual variable. The 't Hooft surface describes the world sheets of topological vortices. We derive the formulas to calculate the expectation value of the 't Hooft surface in the multiple-charge lattice Abelian Higgs model and in the lattice non-Abelian Higgs model. As the first demonstration of the formula, we compute the intervortex potential in the charge-2 lattice Abelian Higgs model.

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Takuya Shimazaki, Arata Yamamoto. 2020-09-01. 't Hooft surface in lattice gauge theory. https://doi.org/10.1103/physrevd.102.034517

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