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      QCD Thermodynamics: Confronting the Polyakov-Quark-Meson Model with Lattice QCD


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          NJL-type effective models represent a low-energy realization of QCD and incorporate pertinent aspects such as chiral symmetry and its spontaneous breaking, the center symmetry in the heavy-quark limit as well as the axial anomaly. One such model, the Polyakov-quark-meson model for three light quark flavors, is introduced in order to study the phase structure of strongly-interacting matter. With recent high-statistics lattice QCD simulations of the finite-temperature equation of state, a detailed comparison with model results becomes accessible. Such comparisons allow to estimate volume and truncation effects of quantities, obtained on the lattice and provide possible lattice extrapolation procedures to finite chemical potential which are important to locate a critical endpoint in the QCD phase diagram.

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          The order of the quantum chromodynamics transition predicted by the standard model of particle physics

           Y. Aoki,  K. Szabo,  S Katz (2006)
          We determine the nature of the QCD transition using lattice calculations for physical quark masses. Susceptibilities are extrapolated to vanishing lattice spacing for three physical volumes, the smallest and largest of which differ by a factor of five. This ensures that a true transition should result in a dramatic increase of the susceptibilities.No such behaviour is observed: our finite-size scaling analysis shows that the finite-temperature QCD transition in the hot early Universe was not a real phase transition, but an analytic crossover (involving a rapid change, as opposed to a jump, as the temperature varied). As such, it will be difficult to find experimental evidence of this transition from astronomical observations.

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            02 November 2009


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            Acta Phys.Polon.Supp.3:691-700,2010
            10 pages, 4 figures, contributed to the proceedings of the EMMI Workshop and XXVI Max Born Symposium at 09th-11th of July 2009 in Wroclaw, Poland


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