the thermalization time that can be inferred from a comparison of state-of-the-art hydrodynamic simulations to data. Moreover, a fast parton transversing the matter formed in heavy ion collisions excites color fields and loses energy, a phenomenon known as jet quenching [@loss1; @loss2]. For these reasons, the dynamics of classical gauge fields (both coupled or not to hard partons) has received a lot of attention in the context of heavy ion phenomenology [@reviewIANCU; @GLASMA; @romstrick; @mro93; @mro94; @mro97; @Selikhov; @nayak; @GLASMA; @muller96therm; @muller96lattice; @bergesgauge; @DuslingPhi; @florMHD; @Gale; @fujii; @strick-Weibel; @arn-Weibel; @mannakin; @fluct; @strick; @flor; @dum; @kurk; @mromull; @mullerloss; @losscomp; @losscomp2; @rom1; @rom2; @carrdiel; @mro89; @sch; @sch-WYM; @muller-pos; @Tani; @ipp; @stein; @ManMro; @manna; @jiang; @holm; @wakejiang; @white; @localeq].

The color fields “see" the evolving [*matter*]{} (which in our case is composed of colored partons) through the conserved color current, as dictated by Yang-Mills equations. The dynamics of the conserved currents, i.e. the color current and the total energy-momentum tensor of the combined system of matter plus gauge fields, is in general very complex, since in principle it must be computed from the dynamics of the matter fields (or particles in the kinetic limit).

In the semiclassical kinetic approach, the coupling of hard 