1/N expansion for Horava–Lifshitz like four-fermion models

Abstract

Abstract We study a class of four-fermion Gross–Neveu like models in four dimensions with critical exponents $$z=2$$ z=2 and $$z=3$$ z=3 . The models with $$z=2$$ z=2 are in general perturbatively nonrenormalizable but we show that there are in special cases renormalizable in the context of the 1/N expansion. We calculate explicitly the effective potential for these models.