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Calculating the jet quenching parameter.

Hong Liu1, Krishna Rajagopal, Urs Achim Wiedemann

  • 1Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review Letters
|December 13, 2006
PubMed
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We define the jet quenching parameter, q, using quantum field theory. A strong-coupling calculation in supersymmetric QCD reveals q is not proportional to entropy density.

Area of Science:

  • High-energy nuclear physics
  • Quantum field theory
  • String theory

Background:

  • Medium-induced radiative parton energy loss explains hadron spectra suppression in heavy-ion collisions.
  • The jet quenching parameter (q) is a key metric in these models.
  • A model-independent definition of q is needed.

Purpose of the Study:

  • To provide a nonperturbative, quantum field theoretic definition for the jet quenching parameter (q).
  • To calculate q in a strongly coupled system using the anti-de Sitter/conformal-field-theory correspondence.
  • To investigate the behavior of q at strong coupling.

Main Methods:

  • Defined q via the short-distance behavior of a lightlike Wilson loop.
  • Employed the anti-de Sitter/conformal-field-theory (AdS/CFT) correspondence.

Related Experiment Videos

  • Performed a strong-coupling calculation in hot N=4 supersymmetric QCD.

    • Main Results:

    • Established a model-independent, nonperturbative definition of q.
    • Calculated q(SYM) = 26.69 * sqrt(alpha(SYM)Nc)T^3 in the large Nc and strong coupling limit.
    • Demonstrated that q is not proportional to entropy density (s) or number density of scatterers at strong coupling.

    Conclusions:

    • The jet quenching parameter q has a rigorous quantum field theoretic definition.
    • Strong coupling calculations provide insights into q's behavior in strongly interacting matter.
    • The scaling of q differs from simple density measures, highlighting complex medium effects.