Correlation corrections to the thermodynamic properties of spin asymmetric QGP matter

TL;DR

This paper investigates the thermodynamic properties of spin asymmetric quark-gluon plasma using a corrected MIT bag model, analyzing how interactions influence phase transition and equation of state at finite temperature and density.

Contribution

It introduces a detailed calculation of thermodynamic quantities for spin asymmetric QGP with higher-order interaction corrections within a phenomenological model.

Findings

Calculated free energy, entropy, and pressure of spin asymmetric QGP.

Estimated transition temperature T_c between hadronic and QGP phases.

Derived the equation of state dependence on temperature and density.

Abstract

We calculate the free energy, entropy and pressure of the Quark Gluon Plasma (QGP) at finite temperature and density with a given fraction of spin-up and spin-down quarks using a MIT bag model with corrections up to ${\cal O} (g^4 \ln g^2)$. The expressions for the specific heat and the spin susceptibility are derived in terms of Fermi momentum and temperature. The effects of interaction between the quarks on the properties of the QGP phase are also investigated. Within our phenomenological model, we estimate the transition temperature $T_c$ by constructing the phase boundary between the hadronic phase and the QGP phase. Finally, we compute the equation of state of the QGP and its dependence on the temperature and the density.