Higher derivative four-fermion model in curved spacetime

Abstract

We discuss the phase structure of a higher derivative four-fermion model in four dimensions in curved spacetime in frames of the 1 N c - expansion . First, we evaluate in our model the effective potential of two composite scalars in the linear curvature approximation using a local momentum representation in curved spacetime for the higher-derivative propagator which naturally appears. The symmetry breaking phenomenon and phase transition induced by curvature are numerically investigated. A numerical study of the dynamically generated fermionic mass, which depends on the coupling constants and on the curvature, is also presented.