't Hooft surface in lattice gauge theory
arXiv:2006.02886 · doi:10.1103/PhysRevD.102.034517
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.
arXiv comment7 pages, 4 figures; references updated, results unchanged, published in PRD
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