Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-05-08
Phys.Rev.D76:094007,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages, 5 figures, added a paragraph at the end of Section IIIB, corrected typo in Eq.(67). Version to appear in Phys. Rev.
Scientific paper
10.1103/PhysRevD.76.094007
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.
Mannarelli Massimo
Manuel Cristina
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