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.

References in corpus (5)

• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Four loop renormalization of the Gross-Neveu model
• Four loop MSbar mass anomalous dimension in the Gross-Neveu model
• Yukawa CFTs and Emergent Supersymmetry