Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry

Abstract

We use the large 𝑁 critical point formalism to compute 𝑑-dimensional critical exponents at several orders in 1/𝑁 in an Ising Gross-Neveu universality class where the core interaction includes a Lie group generator. Specifying a particular symmetry group or taking the abelian limit of the final exponents recovers known results but also provides expressions for any Lie group or fermion representation.