The equivalence of the SU(N) Yang Mills Theory with a Purely Fermionic Model

Abstract

We investigate the detailed conditions under which a purely fermionic model with current-current interaction goes over to a renormalizable, asymptotically free SU$(N)$ gauge theory.

8 pages, eqs.(6) and (17) are appended as postscipt files at the end

Cited by in corpus (47)

• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Three loop MSbar tensor current anomalous dimension in QCD
• The QCD beta-function at O(1/N_f)
• On $C_J$ and $C_T$ in Conformal QED
• Large $N$ critical exponents for the chiral Heisenberg Gross-Neveu universality class
• Computation of quark mass anomalous dimension at O(1/N_f^2) in quantum chromodynamics
• Evolution equations beyond one loop from conformal symmetry
• Determination of the anomalous dimension of gluonic operators in deep inelastic scattering at O(1/N_f)
• Six dimensional QCD at two loops
• Two-loop conformal generators for leading-twist operators in QCD
• Large $N_f$ quantum field theory
• Anomalous dimensions of operators in polarized deep inelastic scattering at O(1/N_f)
• Heavy Dynamical Fermions in Lattice QCD
• Dynamical localization of gauge fields on a brane
• Quark mass anomalous dimension at O(1/N_f^2) in QCD
• Three loop renormalization of the SU(N_c) non-abelian Thirring model
• Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order
• Exact renormalization group study of fermionic theories
• Two-loop evolution equations for light-ray operators
• Critical exponent $\omega$ in the Gross-Neveu-Yukawa model at $O(1/N)$
• Polarized WW Scattering on the Higgs Pole
• Looking through the QCD Conformal Window with Perturbation Theory
• Spectroscopy and Renormalisation Group Flow of a Lattice Nambu-Jona-Lasinio Model
• Higher dimensional higher derivative ${\varphi }^4$ theory
• Progress with large N_f beta-functions
• Renormalization properties of the mass operator A^2 in three dimensional Yang-Mills theories in the Landau gauge
• Loop calculations in the three dimensional Gribov-Zwanziger Lagrangian
• Anomalous dimension of gluonic operator in polarized deep inelastic scattering at O(1/N_f)
• Eight dimensional QCD at one loop
• Four loop wave function renormalization in the non-abelian Thirring model
• Composite Gauge fields and Broken Symmetries
• Bosonic color-flavor transformation for the special unitary group
• Composite gauge field models with broken symmetries
• QCD and QED renormalization group functions - a large N_f approach
• Light Composite Vector Bosons
• Induced QCD I: Theory
• The Color-Flavor Transformation and Lattice QCD
• Anomalous dimension of non-singlet quark currents at O(1/Nf^2) in QCD
• Induced QCD II: Numerical results
• Stability of $SU(N_c)$ QCD3 from the $\epsilon$-Expansion
• The role of heavy fermions
• Solution of gauge theories induced by fundamental representation scalars
• Continuous Local Symmetry in Ising-type Models
• QED out of matter
• QCD evolution equations from conformal symmetry
• The Color--Flavor Transformation of induced QCD
• Taming lattice artifacts with Pauli--Villars fields