Quark-Hadron Matter at Finite Temperature and Density in a Two-Color PNJL model

TL;DR

This paper models quark-hadron matter at finite temperature and density using a two-flavor SU(2) PNJL framework, deriving an effective Lagrangian and analyzing phase transitions, condensates, and particle masses.

Contribution

It introduces a bosonized, renormalized effective Lagrangian for two-flavor SU(2) quark-hadron matter, including meson and diquark-baryon fields, with comprehensive thermodynamic analysis.

Findings

Chiral and diquark condensates vary with temperature and density.

Masses of mesons and diquark-baryons are calculated with Polyakov loop effects.

Equation of state includes contributions from mesons, diquark-baryons, and quarks.

Abstract

Quark-hadron matter at finite temperature and density is studied using a two-flavor, color SU(2) (P)NJL model. The hadronic effective Lagrangian, derived by bosonization of the quark fields and renormalized using the Eguchi method, emerges in the form of an extended linear sigma model with meson and diquark-baryon fields. Chiral and diquark condensates are studied as functions of temperature and baryon density. Masses of mesons and diquark-baryons are calculated with and without the Polyakov loop effect. We investigate the equation of state of quark-hadron matter by taking into account the contributions of mesons and diquark-baryons in addition to the quark quasiparticles.