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

Abstract

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.

From chiral quark dynamics with Polyakov loop to the hadron resonance gas model

“…An effective and phenomenologically successful approach to the physics of the phase transition is provided by chiral quark models coupled to gluon fields in the form of a Polyakov loop [19,20,21,22,23,24,25,26,27,28,29,30,31,32]. Because most often the venerable Nambu-Jona-Lasinio model has been used, these models are referred to as PNJL models.…”

Phase diagram from PNJL models

“…So far, in view of existing works on the phase diagram using the PNJL model [23,14,30,31,17] the robust prediction is that two separate phase boundaries appear on the phase diagram. A typical example is shown in fig.…”

“…[14] it was clearly recognized that the deconfinement line characterized by the Polyakov loop (susceptibility) becomes distinct from the chiral transition line characterized by the chiral condensate (or susceptibility). The model has been extended to the three-flavor case later on [30,31,17]. In the presence of the Polyakov loop background it is not easy to take account of the diquark condensate.…”

Correlation between conserved charges in Polyakov–Nambu–Jona-Lasinio model with multiquark interactions

“…Meanwhile one can look into the properties of strongly interacting matter through effective models of QCD. Polyakov loop extended Nambu-Jona-Lasinio (PNJL) model is one such model that successfully captures various properties of strongly interacting matter [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. The question as to exactly what extent can this model emulate QCD is still a matter under investigation.…”