't Hooft surface in lattice gauge theory

Takuya Shimazaki, Arata Yamamoto

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Article number034517
JournalPhysical Review D
Issue number3
Publication statusPublished - 2020 Aug 15

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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