  The dynamics of gluons and quarks in a relativistic nuclear collision are
described, within the framework of a classical mean-field transport theory, by
the coupled equations for the Yang-Mills field and a collection of colored
point particles. The particles are used to represent color source effects of
the valence quarks in the colliding nuclei. The possibilities of this approach
are studied to describe the real time evolution of small $x$ modes in the
classical effective theory in a non-perturbative coherent manner. The time
evolution of the color fields is explored in a numerical simulation of the
collision of two Lorentz-boosted clouds of color charged particles on a long
three-dimensional gauge lattice. We report results on soft gluon scattering and
coherent gluon radiation obtained in SU(2) gauge symmetry.
