1/N_c- expansion of the quark condensate at finite temperature

Details 1/N_c- expansion of the quark condensate at finite temperature 1/N_c- expansion of the quark condensate at finite temperature

1995-11-03

arxiv.org/abs/nucl-th/9511003v2

Phys.Rev.C53:2394-2400,1996

Physics

Nuclear Physics

Nuclear Theory

19 pages, REVTeX, 5 figures

Scientific paper

10.1103/PhysRevC.53.2394

Previously the quark and meson properties in a many quark system at finite temperature have been studied within effective QCD approaches in the Hartree approximation. In the present paper we consider the influence of the mesonic correlations on the quark self-energy and on the quark propagator within a systematic $1/N_c$- expansion. Using a general separable ansatz for the nonlocal interaction, we derive a selfconsistent equation for the $1/N_c$ correction to the quark propagator. For a separable model with cut-off formfactor, we obtain a decrease of the condensate of the order of 20\% at zero temperature. A lowering the critical temperature for the onset of the chiral restoration transition due to the inclusion of mesonic correlations is obtained what seems to be closer to the results from lattice calculations.

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