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 (22)

• New features of FORM
• Group theory factors for Feynman diagrams
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• The Multithreaded version of FORM
• Relativistic Mott criticality in graphene
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Antiferromagnetic critical point on graphene's honeycomb lattice: A functional renormalization group approach
• Computation of Critical Exponent ηat O(1/N^3) in the Four Fermi Model in Arbitrary Dimensions
• Critical Behaviour of the 3d Gross-Neveu and Higgs-Yukawa Models
• The Gegenbauer Polynomial Technique: the evaluation of a class of Feynman diagrams
• The massless two-loop two-point function
• Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems
• Critical behavior of Dirac fermions from perturbative renormalization
• Four loop renormalization of the Gross-Neveu model
• Large $N$ critical exponents for the chiral Heisenberg Gross-Neveu universality class
• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• Axodraw Version 2
• Four loop MSbar mass anomalous dimension in the Gross-Neveu model
• Compact analytical form for non-zeta terms in critical exponents at order 1/N^3
• On Calculation of 1/n Expansions of Critical Exponents in the Gross-Neveu Model with the Conformal Technique
• Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order
• Yukawa CFTs and Emergent Supersymmetry