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Jet energy loss in the quark-gluon plasma by stream instabilities

Massimo Mannarelli, Cristina Manuel, Sergi González-Solís, and Michael Strickland
Phys. Rev. D 81, 074036 – Published 30 April 2010
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  • INTRODUCTION
  • FLUCTUATIONS IN THE QGP TRAVERSED BY A…
  • ANALYTICAL SOLUTION FOR THE TSUNAMILIKE…
  • NUMERICAL SIMULATIONS
  • CONCLUSIONS
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    We study the evolution of the plasma instabilities induced by two jets of particles propagating in opposite directions and crossing a thermally equilibrated non-Abelian plasma. In order to simplify the analysis we assume that the two jets of partons can be described with uniform distribution functions in coordinate space and by Gaussian distribution functions in momentum space. We find that while crossing the quark-gluon plasma, the jets of particles excite unstable chromomagnetic and chromoelectric modes. These fields interact with the particles (or hard modes) of the plasma inducing the production of currents; thus, the energy lost by the jets is absorbed by both the gauge fields and the hard modes of the plasma. We compare the outcome of the numerical simulations with the analytical calculation performed assuming that the jets of particles can be described by a tsunamilike distribution function. We find qualitative and semiquantitative agreement between the results obtained with the two methods.

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    • Received 10 December 2009

    DOI:https://doi.org/10.1103/PhysRevD.81.074036

    ©2010 American Physical Society

    Authors & Affiliations

    Massimo Mannarelli1, Cristina Manuel1, Sergi González-Solís1, and Michael Strickland2

    • 1Instituto de Ciencias del Espacio (IEEC/CSIC), Campus Universitat Autònoma de Barcelona, Facultat de Ciències, Torre C5 E-08193 Bellaterra (Barcelona), Spain
    • 2Department of Physics, Gettysburg College, Gettysburg, Pennsylvania 17325, USA

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    Vol. 81, Iss. 7 — 1 April 2010

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    • Figure 1
      Figure 1
      Imaginary part of the dispersion law of the unstable modes of the system composed of two jets of particles propagating in opposite directions in a non-Abelian plasma. The various curves are obtained solving Eq. (22) for various values of the velocity and taking b=0.01; see Eq. (24). Left panel: longitudinal component, k∥v. Right panel: transverse component, k⊥v. The full (black) line corresponds to v=0.5, the dotted (red) line corresponds to v=0.7, the dashed (green) line corresponds to v=0.9, and the dot-dashed (blue) line corresponds to v=0.999. These solutions for the unstable modes have been obtained assuming that the jets of particles have a uniform distribution in space and the tsunamilike distribution function in momentum space reported in Eq. (3).Reuse & Permissions
    • Figure 2
      Figure 2
      Plot of avjet/ωjet2 (left panel) and of bvjet/ωjet2 (right panel) defined in Eq. (33) as a function of vz for four different values of L. With increasing values of L both functions become more and more peaked at vz=1.Reuse & Permissions
    • Figure 3
      Figure 3
      Time evolution of the absolute value of the energy of longitudinal and transverse chromomagnetic fields, Bz and Bt, of the longitudinal and transverse chromoelectric fields, Ez and Et, and of the hard-loop modes of the plasma, HL-pl, and hard-loop modes of the jet, HL-jet. In this simulation we have used Nz=30 and Nϕ=30, see Eq. (37), and the parameters b=0.2 and L=4, see Eqs. (24, 35). The full black line corresponds to ΔE, that is the energy violation measured during the evolution of the system. The results of the numerical simulations become unreliable when ΔE becomes of the same order of the total energy of the system.Reuse & Permissions
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