Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions

Abstract

Abstract Perturbing the standard Gross-Neveu model for N 3 fermions by quartic interactions with the appropriate tensorial contraction patterns, we reduce the original U(N 3) symmetry to either U(N) × U(N 2) or U(N) × U(N) × U(N). In the large-N limit, we show that in three dimensions such models admit new ultraviolet fixed points with reduced symmetry, besides the well-known one with maximal symmetry. The phase diagram notably presents a new phase with spontaneous symmetry breaking of one U(N) component of the symmetry group.