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Bulk viscosity of QCD matter near the critical temperature

Dmitri Kharzeev1 and Kirill Tuchin2,3

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Kubo's formula relates bulk viscosity to the retarded Green's function of the trace of the energy-momentum tensor. Using low energy theorems of QCD for the latter we derive the formula which relates the bulk viscosity to the energy density and pressure of hot matter. We then employ the available lattice QCD data to extract the bulk viscosity as a function of temperature. We find that close to the deconfinement temperature bulk viscosity becomes large, with viscosity-to-entropy ratio ζ/s ~ 1.

Keywords

Anomalies in Field and String Theories

Lattice QCD

QCD

Sum Rules

PACS

24.85.+p Quarks, gluons, and QCD in nuclear reactions

12.38.Gc Lattice QCD calculations

21.65.-f Nuclear matter

27.80.+w 190(less-than-or-equal-to)A(less-than-or-equal-to)219

25.75.Nq Quark deconfinement, quark–gluon plasma production, and phase transitions

Subjects

Nuclear physics

Particle physics and field theory

Dates

Issue 09 (September 2008)

Received 16 May 2008, accepted for publication 9 September 2008

Published 18 September 2008



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