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Three-loop calculations in non-abelian gauge theories

Journal Article · · Physics of Particles and Nuclei
A detailed description of the method for analytical evaluation of the three-loop contributions to renormalization group functions is presented. This method is employed to calculate the charge renormalization function and anomalous dimensions for non-Abelian gauge theories with fermions in the three-loop approximation. A three-loop expression for the effective charge of QCD is given. Charge renormalization effects in the SU (4)-supersymmetric gauge model is shown to vanish at this level. A complete list of required formulas is given in Appendix. The above-mentioned results of three-loop calculations were published by the present authors (with A.Yu. Zharkov and L.V. Avdeev) in 1980 in Physics Letters B. The present text, which treats the subject in more details and contains a lot of calculational techniques, was also published in 1980 as the JINR Communication E2-80-483.
OSTI ID:
22977224
Journal Information:
Physics of Particles and Nuclei, Journal Name: Physics of Particles and Nuclei Journal Issue: 5 Vol. 44; ISSN 1063-7796
Country of Publication:
United States
Language:
English

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