Renormalization group functions of QCD in large N_f

1996/09/19 by J. A. Gracey, Gracey, J. A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9609164

Invited talk at RG96, Dubna, Russia; 10 latex pages, one postscript figure, uses sprocl.sty

arxiv created 1996/09/19 · arxiv updated 2009/11/30

Abstract

We review the application of the critical point large N_f self-consistency method to QCD. In particular we derive the O(1/N_f) d-dimensional critical exponents whose epsilon-expansion determines the perturbative coefficients in MSbar of the field dimensions, beta-function and various twist-2 operators which occur in the operator product expansion of deep inelastic scattering.

Related

• Large N_f methods for computing the perturbative structure of deep inelastic scattering
• beta-functions in higher dimensional field theories
• Renormalons: technical introduction
• The QCD renormalization scale stability of high twists and α_s in deep inelastic scattering
• k-Factorization