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

Abstract

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

11 pages, 6 figures

References in corpus (9)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Shear Viscosity in a Gluon Gas
• Sonic Mach Cones Induced by Fast Partons in a Perturbative Quark-Gluon Plasma
• The sound produced by a fast parton in the quark-gluon plasma is a "crescendo"
• Universal Flow-Driven Conical Emission in Ultrarelativistic Heavy-Ion Collisions
• Mach cones in the quark-gluon plasma: Viscosity, speed of sound, and effects of finite source structure
• Three-particle azimuthal correlations and Mach shocks
• Mach Cones in Quark Gluon Plasma
• Mach cones in viscous heavy-ion collisions

Cited by in corpus (3)

• Jet Wake from Linearized Hydrodynamics
• Relating $\hat{q}$, $\eta /s$ and $\Delta E$ in an expanding Quark-Gluon Plasma
• Jet asymmetry and momentum imbalance from $2\to 2$ and $2\to 3$ partonic processes in relativistic heavy-ion collisions