Recent topics of infrared effective lattice QCD

Details Recent topics of infrared effective lattice QCD Recent topics of infrared effective lattice QCD

1999-09-13

arxiv.org/abs/hep-lat/9909104v1

Nucl.Phys.Proc.Suppl. 83 (2000) 550-552

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(Poster),3 pages, LaTeX with 4 eps figures

Scientific paper

Three topics concerning infrared effective lattice QCD are discussed. (1)Perfect lattice action of infrared SU(3) QCD and perfect operators for the static potential are analytically given when we assume two-point monopole interactions alone. The assumption seems to be justified from numerical analyses of pure SU(3) QCD in maximally abelian gauge. (2)Gauge invariance of monopole dominance can be proved theoretically if the gauge invariance of abelian dominance is proved. The gauge invariance of monopole condensation leads us to confinement of abelian neutral but color octet states after abelian projection. (3)A stochastic gauge fixing method is developed to study the gauge dependence of the Abelian projection, which interpolates between the maximally abelian (MA) gauge and no gauge fixing. Abelian dominance for the heavy quark potential holds even in the gauge which is far from Maximally Abelian one.

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