The Boltzmann equation for gluons at early times after a heavy ion collision

TL;DR

This paper derives a Boltzmann equation for gluon evolution immediately after a heavy ion collision, using gluon-gluon interactions and initial conditions from the McLerran-Venugopalan model to analyze momentum distributions over time.

Contribution

It introduces a Boltzmann equation tailored for early gluon system evolution post-collision, incorporating gluon-gluon interactions and specific initial conditions.

Findings

<p_ot> and <p_z^2> evolve over time according to the model

Initial conditions are based on the McLerran-Venugopalan model

Provides a framework for early gluon dynamics analysis

Abstract

A Boltzmann equation is given for the early stages of evolution of the gluon system produced in a head-on collision. The collision term is taken from gluon- gluon approximation. < p_\perp > and < p_z^2 > are evaluated as a function of time using initial conditions taken from the McLerran-Venugopalan model.