Thermodynamic inconsistency in quasiparticle model - a revisit

TL;DR

This paper revisits quasiparticle models for quark-gluon plasma, analyzing their thermodynamic consistency and identifying the model that best fits lattice data while maintaining physical and statistical mechanics principles.

Contribution

It critically examines the thermodynamic consistency of quasiparticle models and identifies the specific model that aligns with lattice data and physical constraints.

Findings

Only one quasiparticle model is consistent with both thermodynamics and statistical mechanics.

The identified model fits lattice data from Bielefeld and Wuppertal-Budapest groups.

Most models require fixing parameters to match physical observations.

Abstract

Widely studied quasiparticle models for quark gluon plasma is revisited here to understand the statistical mechanics and thermodynamics of the system. We investigate the statistical mechanics and thermodynamics inconsistencies involved in these models and their consequences in the observables. Quasiparticle model is a phenomenological model with few parameters and by adjusting them all models fit the results of lattice gauge simulation of gluon plasma \cite{bo.1}. However, after fixing 2 of the 3 parameters of the model by physical arguments, only one quasiparticle model, which is consistent with both statistical mechanics and thermodynamics, fits the Bielefeld lattice data \cite{bo.1}. The same model also fits the recent lattice results of Wuppertal-Budapest group \cite{fo.1}, which deals with precision SU(3) thermodynamics for a large temperature range, reasonably well.