Kinetic theory of overpopulated gluon systems with inelastic processes

TL;DR

This paper investigates how inelastic processes affect the formation of Bose-Einstein condensation in overpopulated gluon systems, finding that such processes can prevent BEC formation by destroying it instantly.

Contribution

It introduces a kinetic theory framework to analyze the impact of inelastic processes on BEC formation in gluon systems with finite mass.

Findings

Inelastic processes hinder BEC formation in gluon systems.

The net condensation rate becomes negatively infinite, destroying BEC.

Inelastic processes can prevent transient BEC in overpopulated gluons.

Abstract

In this work, the role of inelastic processes in the formation of a transient Bose-Einstein condensation (BEC) is investigated based on kinetic theory. We calculate the condensation rate for an overpopulated gluon system which is assumed to be in thermal equilibrium and with the presence of a BEC. The matrix elements of the inelastic processes are chosen as the isotropic one and the gluons are considered to have a finite mass. Our calculations indicate that the inelastic processes can hinder the formation of a BEC since the negatively infinite net condensation rate can destroy any BEC instantly.