Exploring the In-Medium Momentum Dependence of the Dynamical Quark Mass

We review the two standard equations of states based on the Nambu-Jona-Lasinio (NJL) model and the thermodynamic bag (tdBag) model for dense, cold quark matter from a perspective based on the Dyson-Schwinger (DS) formalism. A different, but technically not more complicated approximation reproduces the model of Munczek and Nemirovsky (MN) which accounts in a simplified way for chiral symmetry breaking and confinement as a dynamic process rooted in the momentum dependence of QCD model gap solutions. We review the mass gap solutions for the MN model in the chiral limit and sketch the behavior of mass gap solutions for finite bare quark masses at finite chemical potential.