Polyakov-Nambu-Jona-Lasinio model with a Vandermonde term

Abstract

We extend the Polyakov-Nambu-Jona-Lasinio model for two degenerate flavors by including the effect of the SU(3) measure with a Vandermonde term. This ensures that the Polyakov loop always remains in the domain [0, 1]. The pressure, energy density, specific heat, speed of sound, and conformal measure show small or negligible effects from this term. However various quark number and isospin susceptibilities are all found to approach their respective ideal gas limits around 2Tc. We compare our methods with other similar approaches in Polyakov-Nambu-Jona-Lasinio model and also present a quantitative comparison with lattice QCD data.