CURVATURE AND TOPOLOGICAL EFFECTS ON DYNAMICAL SYMMETRY BREAKING IN A FOUR- AND EIGHT-FERMION INTERACTION MODEL

A dynamical mechanism for symmetry breaking is investigated under the circumstances with the finite curvature, finite size and nontrivial topology. A four- and eight-fermion interaction model is considered as a prototype model which induces symmetry breaking at GUT era. Evaluating the effective potential in the leading order of the 1/N-expansion by using the dimensional regularization, we explicitly calculate the phase boundary which divides the symmetric and the broken phase in a weakly curved space-time and a. at space-time with nontrivial topology, RD-1 circle times S-1.