Color Confinement in Lattice Landau Gauge
Hideo Nakajima, Sadataka Furui
Abstract
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 β=6.4,324,484 lattice simulation. The data are analyzed in the principle of minimum sensitivity(PMS) in the MOM scheme. We observe the running coupling αs(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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