Classical QGP : III. The free energy

TL;DR

This paper investigates the classical quark-gluon plasma (QGP) by deriving its free energy using methods from classical liquids, analyzing different regimes, and comparing results with molecular dynamics simulations.

Contribution

It introduces a novel approach to compute the free energy of classical QGP using cumulant and loop expansions, bridging low density and high temperature regimes.

Findings

Derived free energy expressions in both low density and high temperature limits.

Validated theoretical results against recent molecular dynamics simulations.

Provided insights into the thermodynamic properties of classical QGP.

Abstract

We explore further the classical QGP using methods from classical liquids. The partition function of an ensemble of SU(N_c) colored charge spheres is constructed. We analyze it using a cumulant expansion (low density) and a loop expansion (high temperature) after resumming the Debye screening effects. The pertinent free energies are derived in both limits and compared to recent molecular dynamics results.