Consistent Thermodynamics for Quasiparticle Boson System with Zero Chemical Potential

TL;DR

This paper develops a self-consistent thermodynamic framework for quasiparticle boson systems with zero chemical potential, introducing an effective mass as a new degree of freedom to ensure thermodynamic consistency.

Contribution

It presents a novel thermodynamic treatment that incorporates the effective mass as an independent variable, resolving inconsistencies in previous models.

Findings

A new degree of freedom $m^*$ is introduced in thermodynamic calculations.

A pressure modification term is derived based on $m^*$.

The framework is applicable to various effective mass models.

Abstract

The thermodynamic consistency of quasiparticle boson system with effective mass $m^*$ and zero chemical potential is studied. We take the quasiparticle gluon plasma model as a toy model. The failure of previous treatments based on traditional partial derivative is addressed. We show that a consistent thermodynamic treatment can be applied to such boson system provided that a new degree of freedom $m^*$ is introduced in the partial derivative calculation. A pressure modification term different from the vacuum contribution is derived based on the new independent variable $m^*$. A complete and self-consistent thermodynamic treatment for quasiparticle system, which can be widely applied to effective mass models, has been constructed.