Distribution functions for hard thermal particles in QCD

TL;DR

This paper derives a closed-form distribution function for hot colored particles in a gluon background within QCD, using the hard thermal loop approximation, and confirms its consistency with the effective action approach.

Contribution

It provides a new closed-form expression for the distribution function of hot colored particles in QCD, linking it to the effective action.

Findings

Derived a closed-form distribution function for hot colored particles.

Verified the distribution function matches the current from the effective action.

Enhanced understanding of particle distributions in hot QCD environments.

Abstract

We find a closed-form for the distribution function (defined in terms of a Wigner operator) for hot coloured particles in a background gluon field, in the hard thermal loop approximation. We verify that the current is the same as that derived from the known effective action.