The wake potential in the viscous quark-gluon plasma

Based on the dielectric function derived from the viscous chromohydrodynamic approach, we investigate the wake potential induced by a fast parton traveling through the viscous quark-gluon plasma. An oscillatory wake potential and a Lennard-Jones potential are found in the backward direction for the fast parton speeds v=0.99c and v=0.55c, respectively. In the forward direction, there is a modified Coulomb screening potential for both two speeds. When v=0.99c, shear viscosity makes the oscillation of potential more remarkable with the increase of η/s. While v=0.55c, the viscous effects on the wake potential are very trivial in both the forward and backward directions. Finally, we give some explanations for the speed-dependent viscous effects on the wake properties.