Thermal and curvature effects to dynamical symmetry breaking

Abstract

We investigate the thermal and curvature effects to dynamical symmetry breaking in a four-fermion model. The effective potential is evaluated in the leading order of the [Formula presented] expansion at finite temperature on positive curvature space [Formula presented] or on negative curvature space [Formula presented] with varying temperature and curvature. We argue the combined effects of the temperature and curvature to the phase structure. The broken chiral symmetry is restored for a sufficiently high temperature and/or large positive curvature. The negative curvature enhances the chiral symmetry breaking. It is found that the thermal effect restores the symmetry at high temperature even in negative curvature spacetime. © 1997 The American Physical Society.