A non-abelian quasi-particle model for gluon plasma

TL;DR

This paper introduces a non-abelian quasi-particle model for gluon plasma that incorporates the non-linear and scale-invariant features of gluonic fields, aligning well with lattice QCD results.

Contribution

It presents a novel quasi-particle model using non-linear plane wave solutions with temperature-dependent masses, capturing non-abelian effects in gluon plasma thermodynamics.

Findings

Accurately reproduces gluon plasma energy density.

Models mass parameters near the critical point.

Fits lattice QCD results for SU(3) plasma.

Abstract

We propose a quasi-particle model for the thermodynamic description of the gluon plasma which takes into account non-abelian characteristics of the gluonic field. This is accomplished utilizing massive non-linear plane wave solutions of the classical equations of motion with a variable mass parameter, reflecting the scale invariance of the Yang-Mills Lagrangian. For the statistical description of the gluon plasma we interpret these non-linear waves as quasi-particles with a temperature dependent mass distribution. Quasi-Gaussian distributions with a common variance but different temperature dependent mean masses for the longitudinal and transverse modes are employed. We use recent Lattice results to fix the mean transverse and longitudinal masses while the variance is fitted to the equation of state of pure $SU(3)$ on the Lattice. Thus, our model succeeds to obtain both a consistent description of the gluon plasma energy density as well as a correct behaviour of the mass parameters near the critical point.