Phase diagram and pion modes of the neutral Nambu-Jona Lasinio model with the Polyakov loop

Abstract

I discuss recent results obtained by our group within the Nambu-Jona Lasinio model with the Polyakov loop. I focus on the two flavor version of the model, discussing the phase diagram in the $\mu -T$ plane in the case in which electrical neutrality is required. One of the results is that pion condensation is not observed in our model when a physical mass for the light quarks is considered.

Comments: 6 pages, 3 figures. Invited talk at the YITP international symposium on ``Fundamental Problems in Hot and/or Dense QCD'', Kyoto, Japan, 3-6 Mar 2008