Infrared Features of the Lattice Landau Gauge QCD

The infrared properties of lattice Landau gauge QCD of SU(3) are studied by measuring gluon propagator, ghost propagator, QCD running coupling and Kugo-Ojima parameter of $\beta=6.0, 16^4,24^4,32^4$ and $\beta=6.4, 32^4,48^4$ lattices. We study Gribov copy problem by parallel tempering (PT) gauge fixing of $\beta=2.2, 16^4$ SU(2) configurations. Rather unexpected features of the unique gauge(fundamental modular gauge, FMG) are observed in relation of physical values vs the optimizing function.