Light-cone representation of the quark Schwinger-Dyson equation

We use a light-cone approach to solve the Schwinger-Dyson equation for the quark propagator in Minkowski space. We show how this method can be used to solve the equation beyond the spacelike region, to which one is usually restricted with the Euclidean-space approach. We work in the Landau gauge, use an infrared-enhanced model for the gluon propagator, and include instanton effects to get both confinement and vacuum condensates. With our models reasonable fits to known quantities are obtained, resulting in a light-cone quark propagator that can be used for hadronic physics at all momentum transfers.