Vortex Structure in Abelian-Projected Lattice Gauge Theory

Abstract

We report on a breakdown of both monopole dominance and positivity in abelian-projected lattice Yang-Mills theory. The breakdown is associated with observables involving two units of the abelian charge. We find that the projected lattice has at most a global $Z_2$ symmetry in the confined phase, rather than the global U(1) symmetry that might be expected in a dual superconductor or monopole Coulomb gas picture. Implications for monopole and center vortex theories of confinement are discussed.

LATTICE99(confine), 3 pages, 2 figures

References in corpus (2)

• On the relevance of center vortices to QCD
• Effective Monopole Potential for SU(2) Lattice Gluodynamics in Spatial Maximal Abelian Gauge

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• Large Dual Transformations and the Petrov-Diakonov Representation of the Wilson Loop
• How to get rid of Dirac worldsheets in the Cho-Fadeev-Niemi representation of SU(2) Yang-Mills theory