Thermodynamics of Quasi-Particles at Finite Chemical Potential

TL;DR

This paper generalizes thermodynamic solutions for quasi-particles with temperature and chemical potential-dependent masses, successfully aligning theoretical models with perturbative and lattice QCD results.

Contribution

It introduces a novel approach to resolve thermodynamic inconsistencies in quasi-particle models considering chemical potential dependence.

Findings

Identifies a unique solution matching perturbative QCD

Reproduces lattice QCD thermodynamics

Addresses thermodynamic inconsistency issues

Abstract

We present in this work a generalization of the solution of Gorenstein and Yang to the inconsistency problem of thermodynamics for systems of quasi-particles whose masses depend on both the temperature and the chemical potential. We work out several solutions for an interacting system of quarks and gluons and show that there is only one type of solution that reproduce both perturbative and lattice QCD.