Improved Polyakov-loop potential for effective models from functional calculations

Abstract

We investigate the quark backreaction on the Polyakov loop and its impact on the thermodynamics of quantum chromodynamics. The dynamics of the gluons generating the Polyakov-loop potential is altered by the presence of dynamical quarks. However, this backreaction of the quarks has not yet been taken into account in Polyakov-loop extended model studies. In the present work, we show within a 2+1 flavour Polyakov-quark-meson model that a quark-improved Polyakov-loop potential leads to a smoother transition between the low-temperature hadronic phase and the high-temperature quark-gluon plasma phase. In particular, we discuss the dependence of our results on the remaining uncertainties that are the critical temperature and the parametrisation of the Polyakov-loop potential as well as the mass of the sigma-meson.

19 pages, 25 figures; version published in Phys. Rev. D

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• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Flow equations for spectral functions at finite external momenta
• The phase structure of QCD for heavy quarks
• Polyakov SU(3) extended linear $\sigma$-model: Sixteen mesonic states in chiral phase-structure
• SU(3) Polyakov linear-sigma model: Conductivity and viscous properties of QCD matter in thermal medium
• Strong magnetic fields in nonlocal chiral quark models
• Supernova Equation of State with an extended SU(3) Quark-Meson Model
• Center phase transition from matter propagators in (scalar) QCD