1998/09/02 by Hiroko Ichie, Ichie, Hiroko, Hideo Suganuma +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/9809006
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
arxiv created 1998/09/02 · arxiv updated 2009/12/01
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 β 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.