Color Confinement in Lattice Landau Gauge

Details Color Confinement in Lattice Landau Gauge Color Confinement in Lattice Landau Gauge

2003-03-27

arxiv.org/abs/hep-lat/0303024v1

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 4 figures, SCGT02 conference proceedings, Dec.10-13 2002

Scientific paper

The problem of color confinement in lattice Landau gauge QCD is briefly reviewed in the light of Kugo-Ojima criterion and Gribov-Zwanziger theory. The infrared properties of the Landau gauge QCD is studied by the measurement of the gluon propagator, ghost propagator, Kugo-Ojima parameter and the running coupling via $\beta=6.4,32^4,48^4$ lattice simulation. The data are analyzed in the principle of minimum sensitivity(PMS) in the $\widetilde{MOM}$ scheme. We observe the running coupling $\alpha_s(q)$ has a maximum about 1 and decreases near q=0. The Kugo-Ojima parameter, which is expected to be 1 was about 0.8.

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