Gauge-independent Abelian mechanism of color confinement in gluodynamics

Abstract

Abelian mechanism of non-Abelian color confinement is observed in a gauge-independent way by high precision lattice Monte Carlo simulations in gluodynamics. An Abelian gauge field is extracted with no gauge-fixing. A static quark-antiquark potential derived from Abelian Polyakov loop correlators gives us the same string tension as the non-Abelian one. The Hodge decomposition of the Abelian Polyakov loop correlator to the regular photon and the singular monopole parts also reveals that only the monopole part is responsible for the string tension. The investigation of the flux-tube profile then shows that Abelian electric fields defined in an arbitrary color direction are squeezed by monopole supercurrents with the same color direction, and the quantitative features of flux squeezing are consistent with those observed previously after Abelian projections with gauge fixing. Gauge independence of Abelian and monopole dominance strongly supports that the mechanism of non-Abelian color confinement is due to the Abelian dual Meissner effect.

arXiv comment4 pages, 6 Postscript figures

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• On the question of quark confinement in the Abelian U(1) QED gauge interaction
• Monopoles of the Dirac type and color confinement in QCD -- First results of SU(3) numerical simulations without gauge fixing
• QED meson description of the anomalous particles at ~17 and ~38 MeV
• Abelian spatial string tension in finite temperature SU(2) gauge theory
• New Abelian-like monopoles and the dual Meissner effect
• Monopoles of the Dirac type and color confinement in QCD -- Study of the continuum limit
• Monopoles of the Dirac type and color confinement in QCD
• Violation of non-Abelian Bianchi identity and QCD topology
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