Speaker
Description
The Dyson-Schwinger equation is solved in Minkowski space for the quark propagator in a QCD-inspired model. In the rainbow-ladder truncation with a massive gluon and a Pauli-Villars regulator used to tune the infrared physics of the model, we show that it is possible to verify the realization of the dynamical chiral symmetry breaking in the large coupling regime. In this sense, the parameter set is chosen such that the gluon mass scale, the Pauli-Villars mass, and coupling constant are found by fitting the results for running quark mass and from the gluon mass suggested by lattice QCD calculations in the Landau gauge. Further extensions and the possibility to study a pion model within the Bethe-Salpeter framework with the self-energies in Minkowski space are also delineated.
