Phase diagram and thermodynamics of the Polyakov linear sigma model with three quark flavors

Abstract

The phase diagram at finite temperature and density is investigated in the framework of the Polyakov linear sigma model (PLSM) with three light quark flavors in the mean field approximation. It is found that in the PLSM, the three phase transitions, i.e. the chiral restoration of u, d quarks, the chiral restoration of s quark and the deconfinement phase transition, are independent. There exists a two-flavor quarkyonic phase at low-density and a three-flavor quarkyonic phase at high density. The critical end point (CEP) which separates the crossover from the first-order line in the PLSM model is located at (TE, μE) = (188 MeV, 139.5 MeV). In the transition region, the thermodynamic properties and the bulk viscosity over entropy density ratio ζ/s are also discussed in the PLSM.

SU(3) Polyakov linear-sigma model: Conductivity and viscous properties of QCD matter in thermal medium

“…where For meson fields, we can implement the expectation valuesσ l andσ s , for light and strange quark, respectively [59,64]. Standard methods are used in calculating the integrals over the fermions yields [64].…”

Temperature dependent transport coefficients in a dynamical holographic QCD model

“…In the perturbative region, the bulk viscosity ζ is very small and the leading dependence on α s is ζ ∝ α 2 s / ln α −1 s [28]. However, ζ/s is shown to rise sharply near T c in studies from different approaches, for example, Lattice QCD [29][30][31][32], the linear sigma model [33], the Polyakov-loop linear sigma model [34] and the real scalar model [35]. The near phase transition enhancement of bulk viscosity corresponds to the peak of trace anomaly around T c , which shows the equation of state is highly nonconformal [36,37] around phase transition.…”

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.…”