't Hooft surface in lattice gauge theory
High Energy Physics - Lattice
2020-09-02 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.2006.02886,
title = {'t Hooft surface in lattice gauge theory},
author = {Takuya Shimazaki and Arata Yamamoto},
journal= {arXiv preprint arXiv:2006.02886},
year = {2020}
}
Comments
7 pages, 4 figures; references updated, results unchanged, published in PRD