Intersection between Microscopic and Macroscopic Abelian Dominance in the Confinement Physics of QCD

Hiroko Ichie; Hideo Suganuma

Intersection between Microscopic and Macroscopic Abelian Dominance in the Confinement Physics of QCD

High Energy Physics - Lattice 2007-05-23 v1

Authors: Hiroko Ichie , Hideo Suganuma

Abstract

We study abelian dominance for confinement in terms of the local gluon properties in the maximally abelian (MA) gauge, where the diagonal component of the gluon is maximized by the gauge transformation. We find microscopic abelian dominance on the link-variable for the whole region of $\beta$ in the lattice QCD in the MA gauge. The off-diagonal angle variable, which is not constrained by the MA-gauge fixing condition, tends to be random besides the residual gauge degrees of freedom. Within the random-variable approximation for the off-diagonal angle variable, we analytically prove that off-diagonal gluon contribution $W^{\rm off}$ to the Wilson loop obeys the perimeter law in the MA gauge. The perimeter-law behavior of $W^{\rm off}$ is also confirmed using the lattice QCD simulation. This indicates macroscopic abelian dominance for the string tension.

Keywords

abelian dominance maximally abelian gauge confinement lattice QCD Wilson loop string tension

Cite

@article{arxiv.hep-lat/9809006,
  title  = {Intersection between Microscopic and Macroscopic Abelian Dominance in the Confinement Physics of QCD},
  author = {Hiroko Ichie and Hideo Suganuma},
  journal= {arXiv preprint arXiv:hep-lat/9809006},
  year   = {2007}
}

Comments

4 pages LaTeX (4 figures), uses worldsci.sty, Talk given at Int. Conf. on ``Quark Confinement and the Hadron Spectrum III'', Jefferson Lab, USA, June 7-12, 1998

Intersection between Microscopic and Macroscopic Abelian Dominance in the Confinement Physics of QCD

Abstract

Keywords

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