Effect of color randomization on $p_T$ broadening of fast partons in turbulent quark-gluon plasma

Abstract

We analyze the effect of the parton color randomization on $p_T$ broadening in the quark-gluon plasma with turbulent color fields. We calculate the transport coefficient for a simplified model of fluctuating color fields in the form of alternating sequential transverse layers with homogenous transverse chromomagnetic fields with random orientation in the SU(3) group and gaussian distribution in the magnitude. Our numerical results show that the color randomization can lead to a sizable reduction of the turbulent contribution to $\hat{q}$. The magnitude of the effect grows with increasing ratio of the electric and magnetic screening masses.