Gauge invariance of the dual Meissner effect in QCD

2005/11/15 by Tsuneo Suzuki, Katsuya Ishiguro, Suzuki, Tsuneo +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/0511025

4 pages, 7 PostScript figures

arxiv created 2005/11/15 · arxiv updated 2009/12/01

Abstract

The dual Meissner effect is described and numerically observed in a gauge-invariant way in lattice Monte-Carlo simulations of pure SU(2) QCD. A gauge-invariant Abelian-like field strength is defined in terms of a unit-vector in color space which is constructed by a non-Abelian field strength itself. A gauge-invariant monopole-like quantity is defined by a violation of the Bianchi identity with respect to the Abelian-like field strength. The squeezing of the non-Abelian electric field √(∑_a(E^a_i)²) between a pair of static quark and anti-quark occurs due to the solenoidal current coming from the gauge-invariant monopole-like quantity. An equation similar to the dual London equation is confirmed approximately in the long-range region.

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