On Calculation of $2+\veps$ RG Functions in the Gross Neveu Model from Large $N$ Expansions of Critical Exponents

Abstract

Using knowledge of the explicit $n$ dependence of the RG functions and expressions of critical exponents in the framework of large $N$ expansion in the Gross Neveu model we derive RG functions in 4- and 5-loop approximation.

preprint PNPI-1910, 10 pages, 1 figure, LaTeX

Cited by in corpus (28)

• Quantum Field Theory in the Large N Limit: a review
• Four loop renormalization of the Gross-Neveu model
• Two-loop fermion self-energy in reduced quantum electrodynamics and application to the ultra-relativistic limit of graphene
• Multi-loop techniques for massless Feynman diagram calculations
• Note on an application of the method of uniqueness to reduced quantum electrodynamics
• Global phase diagram of a three dimensional dirty topological superconductor
• Massless two-loop self-energy diagram: Historical review
• Note on "Diffusive quantum criticality in three-dimensional disordered Dirac semimetals"
• Compact analytical form for non-zeta terms in critical exponents at order 1/N^3
• Four loop MSbar mass anomalous dimension in the Gross-Neveu model
• Higher-spin currents in the Gross-Neveu model at $1/n^2$
• Two-loop fermion self-energy and propagator in reduced QED${}_{3,2}$
• Operator Product Expansions and Consistency Relations in a O(N) Invariant Fermionic CFT for 2<d<4
• Three loop renormalization of the SU(N_c) non-abelian Thirring model
• Three Dimensional Gross-Neveu Model on Curved Spaces
• The method of uniqueness and the optical conductivity of graphene: new application of a powerful technique for multi-loop calculations
• Temperature induced phase transitions in four fermion models in curved space-time
• On the Question of a Possible Infrared Zero in the Beta Function of the Finite-$N$ Gross-Neveu Model
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• New Universality Classes for Quantum Critical Behavior
• Variational Resummation of $\epsilon$-Expansions of Critical Exponents of Nonlinear O(N)-Symmetric $\sigma$-Model in $2+\epsilon$ Dimensions
• Four loop wave function renormalization in the non-abelian Thirring model
• Slightly broken higher-spin current in bosonic and fermionic QED in the large-$N$ limit
• Lectures in Quantum Gravity
• New results for a two-loop massless propagator-type Feynman diagram
• Emergent Supersymmetry at Large $N$
• On the Wilson-Fisher fixed point in the limit of integer spacetime dimensions