Dual vortices and gauge choice in Abelian projected SU(2) lattice gauge theory

Abstract

We explore vortex formation for Abelian projected SU(2) in the Polyakov gauge and compare the results with those calculated in the maximal Abelian gauge. In both gauges, a non-zero vacuum expectation value of a monopole field operator signals confinement. We find vortices in the Polyakov projection, confirming the connection between the dual superconductor order parameter and the existence of vortices. However we find that the Polyakov Abelian projection is problematic, leaving the maximal Abelian projection as the best candidate to define an effective theory of confinement in this scenario.

37 pages, RevTex, 8 eps figures, uses epsfig.sty. Revised version submitted to Phys. Rev. D

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• Monopoles in Abelian Polyakov gauge and projection (in)dependence of the dual superconductor mechanism of confinement
• Abelian Projection on the Torus for general Gauge Groups
• Remarks on abelian dominance
• Ehrenfest theorems and charge antiscreening in Abelian projected gauge theories
• On projection (in)dependence of monopole condensate in lattice SU(2) gauge theory
• Monopole Loop Distribution and Confinement in SU(2) Lattice Gauge Theory
• Dynamically generated electric charge distributions in Abelian projected SU(2) lattice gauge theories