Abstract
In this work we present the solution of the Schwinger-Dyson equation (SDE) for the quark propagator with gluon propagator models inspired by Lattice Quantum Chromodynamics (QCD) and a model of running coupling. Mass function M(p(2)) of the quarks and wave function renormalization F(p(2)) are obtained for the different models respectively. We also calculated the chiral quark condensate for each model and test for confinement through violation of positivity of the dynamical fermion propagator.