Is Confinement a Phase of Broken Dual Gauge Symmetry?

Abstract

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.

6 pages, 5 figures

References in corpus (2)

• On the Ambiguity of Spontaneously Broken Gauge Symmetry
• Modified SO(3) Lattice Gauge Theory at non zero T with Parallel Tempering: Monopole and Vortex Condensation

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• Large Dual Transformations and the Petrov-Diakonov Representation of the Wilson Loop
• Toward a well defined monopole creation operator