Infrared features of unquenched Lattice Landau Gauge QCD

The running coupling and the Kugo-Ojima parameter of unquenched lattice Landau gauge are simulated and compared with the continuum theory. Although the running coupling measured by the ghost and gluon dressing function is infrared suppressed, the running coupling has the maximum of α0 ∼ 2−2.5 at around q = 0.5GeV irrespective of the fermion actions (Wilson fermions and Kogut-Susskind(KS) fermions). The Kugo-Ojima parameter c which saturated to about 0.8 in quenched simulations becomes consistent with 1 in the MILC configurations produced with the use of the Asqtad action, after averaging the dependence on polarization directions caused by the asymmetry of the lattice. Presence of 1 + c1/q 2 correction factor in the running coupling depends on the lattice size and the sea quark mass. In the large lattice size and small sea quark mass, c1 is confirmed of the order of a few GeV. The MILC configuration of a = 0.09fm suggests also the presence of dimension-4 condensates with a sign opposite to the dimension-2 condensates. The gluon propagator, the ghost propagator and the running coupling are compared with recent pQCD results including an anomalous dimension of fields up to the four-loop level.