Phase Space Description of the Leading Order Quark and Gluon Production from a Space-Time Dependent Chromofield

TL;DR

This paper derives source terms for quark and gluon production from a space-time dependent chromofield in QCD, including annihilation processes, aiding the study of early quark-gluon plasma formation in heavy-ion collisions.

Contribution

It introduces a novel derivation of source terms for parton production and annihilation processes in a space-time dependent chromofield, extending previous models.

Findings

Source terms include both production and annihilation processes.

Applicable for partons with momentum larger than gA and mbda_{QCD}.

Useful for modeling early quark-gluon plasma dynamics.

Abstract

We derive source terms for the production of quarks and gluons from the QCD vacuum in the presence of a space-time dependent external chromofield A_{cl} to the order of S^{(1)}. We found that the source terms for the parton production processes A_{cl} -> q\bar{q} and A_{cl},A_{cl}A_{cl} -> gg also include the annihilation processes q\bar{q} -> A_{cl} and gg -> A_{cl},A_{cl}A_{cl}. The source terms we derive are applicable for the description of the production of partons with momentum p larger rhan gA which itself must be larger than \Lambda_{QCD}. We observe that these source terms for the production of partons from a space-time dependent chromofield can be used to study the production and equilibration of the quark-gluon plasma during the very early stages of an ultrarelativistic heavy-ion collision.