Abelian dominance and the dual Meissner effect in local unitary gauges in SU(2) gluodynamics

Abstract

Performing highly precise Monte-Carlo simulations of SU(2) gluodynamics, we observe for the first time Abelian dominance in the confining part of the static potential in local unitary gauges such as the F12 gauge. We also study the flux-tube profile between the quark and antiquark in these local unitary gauges and find a clear signal of the dual Meissner effect. The Abelian electric field is found to be squeezed into a flux tube by the monopole supercurrent. This feature is the same as that observed in the non-local maximally Abelian gauge. These results suggest that the Abelian confinement scenario is gauge independent. Observing the important role of space-like monopoles in the Polyakov gauge also indicates that the monopoles defined on the lattice do not necessarily correspond to those proposed by 't Hooft in the context of Abelian projection.

4 pages, 7 figures

References in corpus (1)

• Duality of gauge field singularities and the structure of the flux tube in Abelian-projected SU(2) gauge theory and the dual Abelian Higgs model

Cited by in corpus (10)

• Monopoles, abelian projection, and gauge invariance
• Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
• Gauge-independent Abelian mechanism of color confinement in gluodynamics
• Detecting monopoles on the lattice
• Magnetic Monopole Loops supported by a Meron pair as the Quark Confiner
• Abelian spatial string tension in finite temperature SU(2) gauge theory
• QCD Monopoles on the Lattice and Gauge Invariance
• QED meson description of the anomalous particles at ~17 and ~38 MeV
• New Abelian-like monopoles and the dual Meissner effect
• Monopoles of the Dirac type and color confinement in QCD