Chiral Phase Transition Scenarios from the Vector Meson Extended Polyakov Quark Meson Model

Abstract

Chiral phase transition is investigated in an SU (3) L ×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 µ 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 µ B a light isoscalar particle is needed.

Influence of finite volume and magnetic field effects on the QCD phase diagram

“…The values for these parameters, used in the present study, are tabulated in Table I below. Recent studies [49,50] suggest that better consistency with recent lattice results can be achieved in the T < T c region, by extending the model within the vector meson sector. Such an extension was not included in this work and is not expected to strongly affect the qualitative conclusion.…”

Influence of Finite Volume Effect on the Polyakov Quark–Meson Model

“…The parameters values used in the current study, are listed in Table . I below. Different studies [34,35] indicate that extending the PQM model with the vector meson sector will help to accomplish better agreement with LQCD at T < T c . Such correction was not included in this work and shall be discussed in future work.…”