Lattice-QCD based Schwinger-Dyson approach for Chiral phase transition

Dynamical chiral-symmetry breaking in QCD is studied with the Schwinger-Dyson (SD) formalism based on lattice QCD data, i.e., LQCD-based SD formalism. We extract the SD kernel function K(p2) in an Ansatzindependent manner from the lattice data of the quark propagator in the Landau gauge. As remarkable features, we find infrared vanishing and intermediate enhancement of the SD kernel function K(p2). We apply the LQCD-based SD equation to thermal QCD with the quark chemical potential μq. We find chiral symmetry restoration at Tc≃100MeV for μq=0. The real part of the quark mass function decreases as T and μq. At finite density, there appears the imaginary part of the quark mass function, which would lead to the width broadening of hadrons.