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Physics Letters B
Volume 318, Issue 1, 25 November 1993, Pages 177-183
 
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doi:10.1016/0370-2693(93)91803-U    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1993 Published by Elsevier Science B.V. All rights reserved.

Quark, gluon and ghost anomalous dimensions at O(1/Nƒ) in quantum chromodynamics

J. A. Gracey

Department of Applied Mathematics and Theoretical Physics, University of Liverpool, P.O. Box 147, Liverpool, L69 3BX, United Kingdom

Received 14 August 1993; 
revised 27 September 1993. 
Editor: P.V. Landshoff 
Available online 24 October 2002.

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Abstract

By considering the scaling behaviour of various Feynman graphs at leading order in large Nƒ at the non-trivial fixed point of the d-dimensional β-function of QCD we deduce the critical exponents corresponding to the quark, gluon and ghost anomalous dimensions as well as the anomalous dimensions of the quark-quark-gluon and ghost-ghost-gluon vertices in the Landau gauge. As the exponents encode all orders information on the perturbation series of the corresponding renormalization group functions we find agreement with the known three loop structure and, moreover, we provide new information at all subsequent orders.

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Physics Letters B
Volume 318, Issue 1, 25 November 1993, Pages 177-183
 
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