Non-Abelian Stokes theorem and quark confinement in QCD

Details Non-Abelian Stokes theorem and quark confinement in QCD Non-Abelian Stokes theorem and quark confinement in QCD

2000-09-19

arxiv.org/abs/hep-th/0009143v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Invited talk given at International Symposium on Quantum Chromodynamics (QCD) and Color Confinement (Confinement 2000

Scientific paper

To understand the Abelian dominance and magnetic monopole dominance in low-energy QCD, we rewrite the non-Abelian Wilson loop into the form which is written in terms of its Abelian components or the 't Hooft-Polyakov tensor describing the magnetic monopole. This is peformed by making use of a version of non-Abelian Stokes theorem. We propose a modified version of the maximal Abelian (MA) gauge. By adopting the modified MA gauge in QCD, we show that the off-diagonal gluons and Faddeev-Popov ghosts acquire their masses through the ghost--anti-ghost condensation due to four ghost interaction coming from the gauge-fixing term of the modified MA gauge. The asymptotic freedom of the original non-Abelian gauge theory is preserved in this derivation.

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