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The effective coupling of QCD is measured by using the gauge configurationsproduced by the MILC collaboration in which the Kogut Susskind (KS) fermion isincorporated and by using that produced by the QCDOC collaboration in which thedomain wall fermion (DWF) is incorporated. We fix the gauge to the Landau gaugeand to the Coulomb gauge. The infrared effective coupling in the Coulomb gaugeagrees with the recent extraction at JLab, but that in the Landau gauge showsinfrared suppression. The suppression is expected to be due to the coloranti-symmetric ghost propagator which in the unquenched configurations hasstronger infrared singularity than the color diagonal ghost propagator. TheCoulomb form factor in the infrared depends on the kind of the fermionincorporated in the system and the temperature. The quark has the effect ofquenching randomness and the fluctuation of the color anti-symmetric ghostpropagator is reduced in the unquenched configuration, and the Kugo-Ojimaparameter c is closer to 1 in the unquenched configuration than in the quenchedconfiguration.

Roles of the quark field in the infrared lattice Coulomb gauge and Landau gauge QCD