Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter

We study the phase diagram of the three flavor Polyakov- Nambu- Jona- Lasinio ( PNJL) model and, in particular, the interplay between chiral symmetry restoration and deconfinement crossover. We compute chiral condensates, quark densities, and the Polyakov loop at several values of temperature and chemical potential. Moreover we investigate on the role of the Polyakov loop dynamics in the transition from nuclear matter to quark matter.