Examination of the Gunion-Bertsch formula for soft gluon radiation

TL;DR

This paper reevaluates the Gunion-Bertsch formula for soft gluon radiation in gluon scattering, relaxing previous approximations, and applies it to estimate gluon equilibration and energy loss in plasma.

Contribution

It provides a revised formula for gluon radiation that improves upon earlier approximations and demonstrates its application to plasma physics.

Findings

Revised gluon emission spectrum differs from earlier results.

Estimated gluon equilibration rate in plasma.

Calculated energy loss of fast gluons in gluonic medium.

Abstract

The spectrum of emitted gluons from the process g+g -> g+g+g has been evaluated by relaxing some of the approximations used in earlier works. The difference in the results from earlier calculations have been pointed out. The formula obtained in the present work has been applied to estimate physical quantities like equilibration rate of gluons and the energy loss of fast gluon in the gluonic plasma.