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Phys. Rev. Lett. 100, 162001 (2008) [4 pages]

Calculation of the Bulk Viscosity in SU(3) Gluodynamics

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Harvey B. Meyer*
Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Received 26 October 2007; revised 5 February 2008; published 23 April 2008

We perform a lattice Monte Carlo calculation of the trace-anomaly two-point function at finite temperature in the SU(3) gauge theory. We obtain the long distance properties of the correlator in the continuum limit and extract the bulk viscosity ζ via a Kubo formula. Unlike the tensor correlator relevant to the shear viscosity, the scalar correlator depends strongly on temperature. If s is the entropy density, we find that ζ/s becomes rapidly small at high T, ζ/s<0.15 at 1.65Tc, and ζ/s<0.015 at 3.2Tc. However, ζ/s rises dramatically just above Tc, with 0.5<ζ/s<2.0 at 1.02Tc.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.162001
DOI:
10.1103/PhysRevLett.100.162001
PACS:
12.38.Gc, 12.38.Mh, 25.75.−q

*meyerh@mit.edu