Restoration of chiral symmetry in quark models with effective one gluon exchange

Details Restoration of chiral symmetry in quark models with effective one gluon exchange Restoration of chiral symmetry in quark models with effective one gluon exchange

1996-01-08

arxiv.org/abs/hep-ph/9601223v1

Phys.Lett. B373 (1996) 319-327

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages LaTeX, no figures

Scientific paper

10.1016/0370-2693(96)00156-6

The restoration of chiral symmetry at finite density and/or temperature is investigated in a wide class of one-gluon exchange models in the instantaneous approximation. If the effective quark interaction is less divergent than $1/k^2$ for small momentum transfer $k$, we obtain Gaussian critical exponents for the chiral phase transitions at finite temperature and density, respectively. In the opposite case, for an interaction diverging faster than $1/k^2$ in the infrared region, a qualitative different behavior of the quark self-energy near the critical Fermi momentum $k_c$ and the critical temperature $T_c$, respectively, is observed. In the first scenario, we find $k_c \approx 2 \ln 2 \; T_c$, which compares well with recent data from QCD lattice simulations.

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