Topological and Curvature Effects in a Multi-fermion Interaction Model

A multi-fermion interaction model is investigated in a compact spacetime with non-trivial topology and in a weakly curved spacetime. Evaluating the effective potential in the leading order of the 1/N expansion, we show the phase boundary for a discrete chiral symmetry in an arbitrary dimensions, $2\leq D<4$.Comment: 7 pages, 6 figures, Contribution to the proceedings of 2009 Nagoya Global COE Workshop "Strong Coupling Gauge Theories in LHC Era (SCGT09)