Abelian mechanism of non-Abelian color confinement is observed in agauge-independent way by high precision lattice Monte Carlo simulations ingluodynamics. An Abelian gauge field is extracted with no gauge-fixing. Astatic quark-antiquark potential derived from Abelian Polyakov loop correlatorsgives us the same string tension as the non-Abelian one. The Hodgedecomposition of the Abelian Polyakov loop correlator to the regular photon andthe singular monopole parts also reveals that only the monopole part isresponsible for the string tension. The investigation of the flux-tube profilethen shows that Abelian electric fields defined in an arbitrary color directionare squeezed by monopole supercurrents with the same color direction, and thequantitative features of flux squeezing are consistent with those observedpreviously after Abelian projections with gauge fixing. Gauge independence ofAbelian and monopole dominance strongly supports that the mechanism ofnon-Abelian color confinement is due to the Abelian dual Meissner effect.
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