Curvature and topological effects on dynamical symmetry breaking in a four- and eight-fermion interaction model

摘要

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 spacetime and a flat spacetime with nontrivial topology, R~(D-1) ? S~1.