Abstract
In this paper we have written the KB equation for gluodynamics in temporal axial gauge. As an interaction we have adopted leading order self-energy of coupling expansion. Nextwe have introduced kinetic entropy current and showed the H-theorem for the off-shell dynamics in analytical calculation in order to confirm whether leading order self-energy (which contributes to such as g↔gg) contributes to thermalization of the system. Finally we have given numerical analyses. We find that entropy production and resultant local thermalization occurs due to the given off-shell processes. This numerical result is consistent with analytic proof of H-theorem. These off-shell effects have been neglected in normal on-shell approaches. They might play a significant role in the early thermalization of the glasma and help the understanding of heavy ion collisions. Our next step is to simulate KB equation in 3+1 dimensions with fine tuning of initial condition of glasma.
