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Is Confinement a Phase of Broken Dual Gauge Symmetry?

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arxiv 0806.2117 v1 pith:335ZGDOJ submitted 2008-06-12 hep-lat hep-th

J. Greensite , B. Lucini This is my paper · ORCID
classification hep-lathep-th
keywords gaugedualtheoryphasesymmetrybrokenconfinementmonopole
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We study whether broken dual gauge symmetry, as detected by a monopole order parameter introduced by the Pisa group, is necessarily associated with the confinement phase of a lattice gauge theory. We find a number of examples, including SU(2) gauge-Higgs theory, mixed fundamental-adjoint SU(2) gauge theory, and pure SU(5) gauge theory, which appear to indicate a dual gauge symmetry transition in the absence of a transition to or from a confined phase. While these results are not necessarily fatal to the dual superconductor hypothesis, they may pose some problems of interpretation for the present formulation of the Pisa monopole criterion.

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  1. Topological Data Analysis of Abelian Magnetic Monopoles in Gauge Theories

    hep-lat 2025-01 conditional novelty 5.0 of 10

    Topological data analysis observables built from magnetic monopole current networks reproduce the known deconfinement critical coupling in compact U(1) and SU(3) lattice gauge theory.

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