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String confinement in 2-form lattice gauge theory

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arxiv 1905.04471 v2 pith:ZEG76WTV submitted 2019-05-11 hep-lat cond-mat.stat-mechcond-mat.str-elhep-th

classification hep-latcond-mat.stat-mechcond-mat.str-elhep-th
keywords gaugetheoryconfinementformlatticephasedualfield
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We study the confinement between vortex strings in the dual lattice gauge theory of the abelian Higgs model. The dual lattice gauge theory is described by a 2-form gauge field. We calculate the string-antistring potential from the surface operator of the 2-form gauge field. The linear confining potential appears in a confinement phase and it disappears in a deconfinement phase. The phase diagram of the theory is also obtained.

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Cited by 1 Pith paper

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  1. Analyzing the Higgs-confinement transition with non-local operators on the lattice

    hep-lat 2025-01 conditional novelty 6.0 of 10

    The authors simulate the Aharonov-Bohm phase of a Wilson loop around a lattice vortex and find it gives phase π in the Higgs phase but is swamped by noise in the confinement phase.

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