TY - JOUR

T1 - ’t Hooft surface in lattice gauge theory

AU - Shimazaki, Takuya

AU - Yamamoto, Arata

N1 - Publisher Copyright:
Copyright © 2020, The Authors. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/6/4

Y1 - 2020/6/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85095243469&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85095243469&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85095243469

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

ER -