Evolution of hard gluons in a medium with q^(t)∼tn and the thermalization problem

Abstract

We study the energy distribution of hard gluons traversing a dense quark‐gluon plasma by comparing various transverse momentum broadening rates , using a probabilistic perturbative approach. These results were applied to address the thermalization problem in heavy ion collisions. Within the weak coupling model, thermalization follows a “bottom‐up” process: early‐formed high‐energy partons emit low‐energy gluons, leading to their equilibrium formation, creating a thermal bath that facilitates equilibrium in the high‐energy sector. Under this scenario, we model the time dependencies of as a power‐law , and assess the impact of on the distribution of hard gluons passing through the medium.