Three-dimensional Gross-Neveu model on curved spaces Original Research Article

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 S2 × S1 and H2 × S1. We evaluate the free energy density, the spontaneous magnetization and the correlation length at the ultraviolet fixed point. The limit S1 → R, which is interpreted as the zero temperature limit, is also studied.