Quark-hadron phase structure of QCD matter from SU($4$) Polyakov linear sigma model

TL;DR

This paper extends the SU(4) Polyakov linear sigma model to study the behavior of chiral condensates, including charm, and deconfinement parameters at finite temperature and density, aligning well with lattice QCD results.

Contribution

It introduces an extension of the PLSM to include charm quark condensates and analyzes their impact on the QCD phase transition at finite chemical potentials.

Findings

Charm condensate remains unaffected by the QCD phase transition.

Critical temperature for charm condensate is higher than for light and strange quarks.

Model results agree with recent lattice QCD simulations.

Abstract

The SU(4) Polyakov linear sigma model (PLSM) is extended towards characterizing the chiral condensates, $\sigma_l$, $\sigma_s$ and $\sigma_c$ of light, strange and charm quarks, respectively and the deconfinement order-parameters $\phi$ and $\bar{\phi}$ at finite temperatures and densities (chemical potentials). The PLSM is considered to study the QCD equation of state in the presence of the chiral condensate of charm for different finite chemical potentials. The PLSM results are in a good agreement with the recent lattice QCD simulations. We conclude that, the charm condensate is likely not affected by the QCD phase-transition, where the corresponding critical temperature is greater than that of the light and strange quark condensates.