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QCD equation of state in a virial expansion

S Mattiello and W Cassing

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We describe recent three-flavor QCD lattice data for the pressure, speed of sound and interaction measure at nonzero temperature and vanishing chemical potential within a virial expansion. For the deconfined phase, we use an effective potential inspired by a phenomenological model which includes non-perturbative effects from dimension-2 gluon condensates that reproduce the free energy of quenched QCD very well. The hadronic phase is parameterized by a generalized resonance-gas model. Furthermore, we extend this approach to finite quark densities introducing an explicit μq-dependence of the interaction. We calculate pressure, quark-number density, entropy and energy density and compare to results of lattice calculations. We, additionally, investigate the structure of the phase diagram by calculating the isobaric and isentropic lines as well as the critical endpoint in the (T, μq)-plane.


PACS

21.65.-f Nuclear matter

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

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

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

Subjects

Nuclear physics

Dates

Issue 12 (December 2009)

Received 26 June 2009

Published 23 October 2009



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