Time evolution of the quark-gluon plasma

The authors derive the renormalized time evolution equations for the production and time evolution of an SU(2) Yang Mills Plasma from a neutral semi-classical Yang-Mills Field. They show that in a background Feynman gauge that the ghost degrees of freedom cancel the unphysical modes of the Yang-Mills field in the induced current that controls the back-reaction on the initial semi-classical neutral field. This model is a prototype for the production of the non-abelian gluon plasma following a Relativistic Heavy Ion collision. The non-abelian nature determines the renormalization properties of the back-reaction equation and displays the asymptotic freedom property of the Yang-Mills field