11th International Conference on Hard and Electromagnetic Probes of High-Energy Nuclear Collisions

The classical field approximation to Color Glass Condensate for two colliding nuclei has been solved in the literature using numerical methods and recursive analytic solution. In the weak field limit, analytic solutions in transverse momentum space have also been known for some time. Based on the latter, we derive expressions for the space-time dependence of classical gluon 2-point functions $⟨F^{\mu \nu }(x^{\alpha })F^{\kappa \lambda }(y^{\beta })⟩$ in the weak-field limit. For the McLerran-Venugopalan (MV) model, in many cases these expressions are shown to lead to solutions in closed analytic forms valid at all times. We also propose an alternative model which maintains UV-regularity by accounting for local correlations between color charges in the transverse plane. The new model allows for a straight forward calculation of the time dependence of the gluon energy momentum tensor and angular momentum density in early nuclear collisions in the weak field limit. We also discuss the initial motion of the nuclei after the collision.