Approach to D-dimensional Gross-Neveu model at finite temperature and curvature

Details Approach to D-dimensional Gross-Neveu model at finite temperature and curvature Approach to D-dimensional Gross-Neveu model at finite temperature and curvature

1995-11-10

arxiv.org/abs/hep-th/9511059v2

Mod.Phys.Lett. A11 (1996) 785-794

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex, 3 figures

Scientific paper

10.1142/S0217732396000795

We discuss phase structure of chiral symmetry breaking of the $D$-dimensional ($2\leq D\leq3$) Gross-Neveu model at finite temperature, density and constant curvature. We evaluate the effective potential in a weak background approximation to thermalize the model as well as in the leading order of the $1/N$-expansion. A third order critical line is observed similarly to the $D=2$ case.

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