The Phase Diagram of the Quark-Meson Model

Details The Phase Diagram of the Quark-Meson Model The Phase Diagram of the Quark-Meson Model

2004-03-15

arxiv.org/abs/nucl-th/0403039v2

Nucl.Phys. A757 (2005) 479-492

Physics

Nuclear Physics

Nuclear Theory

19 pages, 4 figures,v2; minor corrections in the text, references added, slightly extended conclusion, to appear in NPA

Scientific paper

10.1016/j.nuclphysa.2005.04.012

Within the proper-time renormalization group approach, the chiral phase diagram of a two-flavor quark-meson model is studied. In the chiral limit, the location of the tricritical point which is linked to a Gaussian fixed point, is determined. For quark chemical potentials smaller than the tricritical one the second-order phase transition belongs to the O(4) universality class. For temperatures below the tricritical one we find initially a weak first-order phase transition which is commonly seen in model studies and also in recent lattice simulations. In addition, below temperatures of T <~ 17 MeV we find two phase transitions. The chiral restoration transition is initially also of first-order but turns into a second-order transition again. This leads to the possibility that there may be a "second tricritical" point in the QCD phase diagram in the chiral limit.

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