Abstract
The large N limit of the 3D Gross-Neveu model is here studied on manifolds with positive and negative constant curvature. Using the ζ-function regularization we analyze the critical properties of this model on the spaces S 2 × S 1 and H 2 × S 1. We evaluate the free energy density, the spontaneous magnetization and the correlation length at the ultraviolet fixed point. The limit S 1 → R , which is interpreted as the zero temperature limit, is also studied.
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