Chromohydrodynamical instabilities induced by relativistic jets

Abstract

We study the properties of the chromohydrodynamical instabilities induced by a relativistic jet that crosses the quark-gluon plasma. Assuming that the jet of particles and the plasma can be described using a hydrodynamical approach, we derive and discuss the dispersion laws for the unstable collective modes. In our analysis the chromohydrodynamical equations for the collective modes are tackled in the linear response approximation. Such an approximation, valid for short time scales, allows to study in a straightforward way the dependence of the dispersion laws of the collective modes on the velocity of the jet, on the magnitude of the momentum of the collective mode and on the angle between these two quantities. We find that unstable modes arise for velocity of the jet larger than the speed of the sound of the plasma and only modes with momenta smaller than a certain values are unstable. Moreover, for ultrarelativistic velocities of the jet the longitudinal mode becomes stable and the most unstable modes correspond to relative angles between the velocity of the jet and momentum of the collective mode larger than $\sim \pi /8$. Our results suggest an alternative mechanism for the description of the jet quenching phenomenon, where the jet crossing the plasma loses energy exciting colored unstable modes.

15 pages, 5 figures, added a paragraph at the end of Section IIIB, corrected typo in Eq.(67). Version to appear in Phys. Rev. D

References in corpus (37)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• Calculating the Jet Quenching Parameter from AdS/CFT
• Distributions of Charged Hadrons Associated with High Transverse Momentum Particles in pp and Au+Au Collisions at sqrt(s_NN)=200 GeV
• Collective Modes of an Anisotropic Quark-Gluon Plasma
• Collective Flow signals the Quark Gluon Plasma
• Modifications to Di-Jet Hadron Pair Correlations in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Leading-particle suppression in high energy nucleus-nucleus collisions
• QCD Plasma Instabilities and Bottom-Up Thermalization
• Collective non-Abelian instabilities in a melting Color Glass Condensate
• The Fragility of High-pT Hadron Spectra as a Hard Probe
• Matter in extremis: ultrarelativistic nuclear collisions at RHIC
• Apparent Thermalization due to Plasma Instabilities in Quark-Gluon Plasma
• Hard-Loop Dynamics of Non-Abelian Plasma Instabilities
• Waking the Colored Plasma
• Dynamics of Quark-Gluon-Plasma Instabilities in Discretized Hard-Loop Approximation
• The Fate of Non-Abelian Plasma Instabilities in 3+1 Dimensions
• QCD Plasma Instabilities: The Nonabelian Cascade
• Conical Flow induced by Quenched QCD Jets
• Chromodynamic Weibel instabilities in relativistic nuclear collisions
• The turbulent spectrum created by non-Abelian plasma instabilities
• QCD Plasma Instabilities and Isotropization
• Non-abelian plasma instabilities for strong anisotropy
• Effects of jet quenching on the hydrodynamical evolution of quark-gluon plasma
• Ultraviolet avalanche in anisotropic non-Abelian plasmas
• Electromagnetic fields of a massless particle and the eikonal
• Eigenmodes and growth rates of relativistic current filamentation instability in a collisional plasma
• Jet Shapes in Opaque Media
• Wakes in the quark-gluon plasma
• A Weibel Instability in the Melting Color Glass Condensate
• Thermalization and the chromo-Weibel instability
• Chromo-Hydrodynamic Approach to the Unstable Quark-Gluon Plasma
• Three-Particle Azimuthal Correlations
• Whitening of the Quark-Gluon Plasma
• Local equilibrium of the quark-gluon plasma

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