Phase structure of three and four flavor QCD

Abstract

We investigate the phase structure of QCD at finite temperature and light-quark chemical potential. We improve upon earlier results for N_f=2+1 dynamical quark flavors and investigate the effects of charm quarks in an extension to N_f=2+1+1. We determine the quark condensate and the Polyakov loop potential using solutions of a coupled set of (truncated) Dyson-Schwinger equations for the quark and gluon propagators of Landau gauge QCD. At zero chemical potential we find excellent agreement with results from lattice-QCD. With input fixed from physical observables we find only a very small influence of the charm quark on the resulting phase diagram at finite chemical potential. We discuss the location of the emerging critical end-point and compare with expectations from lattice gauge theory.

10 pages, 9 figures, v2: typos corrected, minor changes, version accepted by PRD

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• The phase structure of the Polyakov--quark-meson model beyond mean field
• The phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential
• The QCD phase diagram at nonzero quark density
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• Chiral and deconfinement transition from Dyson-Schwinger equations
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