Impact of the energy loss spatial profile and shear viscosity to entropy density ratio for the Mach cone vs. head shock signals produced by a fast moving parton in a quark-gluon plasma

摘要

We compute the energy and momentum deposited by a fast moving parton in aquark-gluon plasma using linear viscous hydrodynamics with an energy loss perunit length profile proportional to the path length and with different valuesof the shear viscosity to entropy density ratio. We show that when varyingthese parameters, the transverse modes still dominate over the longitudinalones and thus energy and momentum is preferentially deposited along thehead-shock, as in the case of a constant energy loss per unit length profileand the lowest value for the shear viscosity to entropy density ratio.