Wake of a heavy quark in non-Abelian plasmas: Comparing kinetic theory and the anti-de Sitter space/conformal field theory correspondence
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Hong-2012-Wake of a heavy quark in non-Abelian plasmas.pdf
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Author(s)
Hong, Juhee
Teaney, Derek
Chesler, Paul Michael
Date Issued
June 2012
Journal
Physical Review C
Publisher
American Physical Society
Citation
Hong, Juhee, Derek Teaney, and Paul Chesler. “Wake of a Heavy Quark in non-Abelian Plasmas: Comparing Kinetic Theory and the Anti-de Sitter Space/conformal Field Theory Correspondence.” Physical Review C 85.6 (2012). ©2012 American Physical Society
Version
Final published version
Abstract
We compute the nonequilibrium stress tensor induced by a heavy quark moving through weakly coupled QCD plasma at the speed of light and compare the result to N=4 super-Yang-Mills theory at strong coupling. The QCD Boltzmann equation is reformulated as a Fokker-Planck equation in a leading logarithmic approximation, which is used to compute the induced stress. The transition from nonequilibrium at short distances to equilibrium at long distances is analyzed with first- and second-order hydrodynamics. Even after accounting for the obvious differences in shear lengths, the strongly coupled theory is significantly better described by hydrodynamics at subasymptotic distances. We argue that this difference between the kinetic and the anti-de Sitter space/conformal field theories is related to the second-order hydrodynamic coefficient τ[subscript π]. τ[subscript π] is numerically large in units of the shear length for theories based on the Boltzmann equation.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevC.85.064903
