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Phys. Rev. Lett. 100, 172301 (2008) [4 pages]

Shear Viscosity in a Gluon Gas

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Zhe Xu and Carsten Greiner
Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität Frankfurt, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main, Germany

Received 30 November 2007; published 29 April 2008

The relation of the shear viscosity coefficient to the recently introduced transport rate is derived within relativistic kinetic theory. We calculate the shear viscosity over entropy ratio η/s for a gluon gas, which involves elastic gggg perturbative QCD (PQCD) scatterings as well as inelastic ggggg PQCD bremsstrahlung. For αs=0.3 we find η/s=0.13 and for αs=0.6, η/s=0.076. The small η/s values, which suggest strongly coupled systems, are due to the gluon bremsstrahlung incorporated.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.172301
DOI:
10.1103/PhysRevLett.100.172301
PACS:
12.38.Mh, 05.60.−k, 25.75.−q, 51.20.+d