Operator product expansion coefficient functions in terms of composite operators only: Nonsinglet case

2005/02/28 by A. V. Kisselev, V. A. Petrov
Chemistry · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Black Holes and Theoretical Physics #Chemistry #Composite number #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Operator product expansion #Particle physics theoretical and experimental studies #Product (mathematics) #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.71.085020

published as Phys.Rev. D71 (2005) 085020 · Derivation of the main formula is improved. References are added. To appear in Physical Review D

arxiv created 2005/03/31 · openalex publication_date 2005/04/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A new method for calculating the coefficient functions of the operator product expansion is proposed which does not depend explicitly on elementary fields. Coefficient functions are defined entirely in terms of composite operators. The method is illustrated in the case of QCD nonsinglet operators.

Citations

• Coefficient functions and open charm production in deep inelastic scattering
• Renormalization of composite operators in Yang-Mills theories using a general covariant gauge
• Regularization and renormalization of gauge fields