Susceptibilities near the QCD (tri)critical point

Details Susceptibilities near the QCD (tri)critical point Susceptibilities near the QCD (tri)critical point

2006-03-30

arxiv.org/abs/hep-ph/0603256v3

Phys.Rev.D75:085015,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 19 figures; v3 typos and minor changes, references added

Scientific paper

10.1103/PhysRevD.75.085015

Based on the proper-time renormalization group approach, the scalar and the quark number susceptibilities in the vicinity of possible critical end points of the hadronic phase diagram are investigated in the two-flavor quark-meson model. After discussing the quark-mass dependence of the location of such points, the critical behavior of the in-medium meson masses and quark number density are calculated. The universality classes of the end points are determined by calculating the critical exponents of the susceptibilities. In order to numerically estimate the influence of fluctuations we compare all quantities with results from a mean-field approximation. It is concluded that the region in the phase diagram where the susceptibilities are enhanced is more compressed around the critical end point if fluctuations are included.

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