Thermodynamics of an exactly solvable confining quark model

8th International Workshop on Hadron Physics

Mintz, Bruno W.^1

Departamento de Física Teórica, Instituto de Física, UERJ - Universidade Do Estado Do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, Rio de Janeiro

20550-013, Brazil^1

关键词: Arbitrary temperature;    BRST symmetries;    Finite density;    Lattice simulation;    Nonperturbative analysis;    Partition functions;    Quark model;    Thermodynamic behaviour;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/706/4/042002/pdf
DOI  :  10.1088/1742-6596/706/4/042002

来源: IOP

【 摘 要 】

The grand partition function of a model of confined quarks is exactly calculated at arbitrary temperatures and quark chemical potentials. The model is inspired by a version of QCD where the usual (perturbative) BRST symmetry is broken in the infrared, while possessing a quark mass function compatible with nonperturbative analyses of lattice simulations and Dyson-Schwinger equations. Even though the model is defined at tree level, we show that it produces a non-trivial and stable thermodynamic behaviour at any temperature or chemical potential. Results for the pressure, the entropy and the trace anomaly as a function of the temperature are qualitatively compatible with the effect of non-perturbative interactions as observed in lattice simulations. The finite density thermodynamics is also shown to contain non-trivial features, being far away from an ideal gas picture.