Quark mass and isospin dependence of the deconfining critical temperature

TL;DR

This paper investigates how the deconfining critical temperature varies with quark mass, isospin chemical potential, and pion mass, using a combined approach of chiral perturbation theory and a fuzzy bag model, aligning well with lattice data.

Contribution

It introduces a framework that explicitly incorporates quark masses and chemical potentials into the analysis of deconfinement temperature, bridging low- and high-energy theories.

Findings

Good agreement with lattice data on critical temperature dependence

Explicit quark mass and isospin effects incorporated into the model

Extension of the fuzzy bag model to high-temperature sector

Abstract

We describe the deconfining critical temperature dependence on the pion mass and on the isospin chemical potential in remarkably good agreement with lattice data. Our framework incorporates explicit dependence on quark masses, isospin and baryonic chemical potentials for the case of two flavors through ingredients from well-known high- and low-energy theories. In the low-energy sector, the system is described by a minimal chiral perturbation theory effective action, corresponding to a hot gas of pion quasiparticles and heavy nucleons. For the high-temperature sector we adopt a simple extension of the fuzzy bag model. We also briefly discuss the effects of mass asymmetry and baryon chemical potential.