Extracting a model quark propagator's spectral density

Abstract

We propose a practical procedure to extrapolate the space-like quark propagator onto the complex plane, which follows the Schlessinger Point Method and the spectral representation of the propagator. As a feasible example, we employ quark propagators for different flavors, obtained from the solutions of the corresponding Dyson-Schwinger equation. Thus, the analytical structure of the quark propagator is studied, capitalizing on the current-quark mass dependence of the observed features.