Chiral phase transition scenarios from the vector meson extended Polyakov quark meson model

TL;DR

This paper explores the chiral phase transition in an extended linear sigma model with vector mesons, constituent quarks, and Polyakov loops, analyzing how different parameters influence the transition's nature at various temperatures and chemical potentials.

Contribution

It introduces a hybrid approach to parameterize the model at zero temperature and investigates the conditions for first-order phase transitions in the phase diagram.

Findings

First-order transition at T=0 requires a light isoscalar particle.

The model's phase transition order depends on parameter choices.

Temperature and chemical potential dependence of scalar condensates are characterized.

Abstract

Chiral phase transition is investigated in an $SU(3)_L \times SU(3)_R$ symmetric vector meson extended linear sigma model with additional constituent quarks and Polyakov loops (extended Polyakov quark meson model). The parameterization of the Lagrangian is done at zero temperature in a hybrid approach, where the mesons are treated at tree-level, while the constituent quarks at 1-loop level. The temperature and baryochemical potential dependence of the two assumed scalar condensates are calculated from the hybrid 1-loop level equations of states. The order of the phase transition along the $T=0$ and $\mu_B=0$ axes are determined for various parameterization scenarios. We find that in order to have a first order phase transition at $T=0$ as a function of $\mu_B$ a light isoscalar particle is needed.