Progress with large N β-functions

1996/09/19 by J. A. Gracey · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0168-9002(97)00130-7

published as Nucl.Instrum.Meth.A389:361-364,1997 · Talk presented at AIHENP96, Lausanne, Switzerland, 7 latex pages, uses sprocl.sty

arxiv created 1996/09/19 · openalex publication_date 1997/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report on the progress in the computation of the beta-functions of phi⁴ theory and QCD in the large N expansion. For the former we give an analytic formula for the critical exponent which encodes higher order coefficients in the series beyond those currently known in the MSbar scheme at O(1/N²) in a large N expansion. This allows us to deduce new coefficients in the field anomalous dimension which relate to Kreimer's knot theory of the divergences of a quantum field theory. A similar exponent is computed for the beta-function of QCD at O(1/N_f).

Citations

• The QCD β-function at

Cited by

• Non-zeta knots in the renormalization of the Wess-Zumino model?