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arxiv hep-ph/0608012 v1 pith:LRIEMTHK submitted 2006-08-01 hep-ph nucl-th

The Bulk Viscosity of High-Temperature QCD

classification hep-ph nucl-th
keywords viscositybulkfindzetaalphacouplinghigh-temperatureorder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the bulk viscosity zeta of high-temperature QCD to leading order in powers of the running coupling alpha_s(T). We find that it is negligible compared to shear viscosity eta for any alpha_s that might reasonably be considered small. The physics of bulk viscosity in QCD is a bit different than in scalar phi^4 theory. In particular, unlike in scalar theory, we find that an old, crude estimate of zeta as 15 ((1/3)-v_s^2)^2 eta gives the correct order of magnitude, where v_s is the speed of sound. We also find that leading-log expansions of our result for zeta are not accurate except at very small coupling.

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