The <i>n</i>→0 limit of γ<i><sub>gg</sub></i>(<i>a</i>) in QCD


Bennett, JF and Gracey, JA ORCID: 0000-0002-9101-2853 (2000) The <i>n</i>→0 limit of γ<i><sub>gg</sub></i>(<i>a</i>) in QCD. PHYSICS LETTERS B, 488 (3-4). pp. 269-273.

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Abstract

We consider the n → 0 limit of the DGLAP splitting function γ(gg)(a) at all orders in the strong coupling constant, a, by analysing the leading order large N(f) form of the associated d-dimensional critical exponent. We show that for unpolarized scattering the pole at n = 0 which appears in successive orders in perturbation theory is absent in the resummed expression. (C) 2000 Published by Elsevier Science B.V.

Item Type: Article
Additional Information: LTH 483. arXiv Number: arXiv:hep-ph/0008067v1. Available online 6 September 2000. Issue: 7 September 2000.
Uncontrolled Keywords: DEEP-INELASTIC-SCATTERING, FREE GAUGE-THEORIES, SINGLET WILSON OPERATORS, SMALL-X, ANOMALOUS DIMENSIONS, LEADING ORDER, BETA-FUNCTION, 2ND-ORDER CONTRIBUTIONS, QUANTUM CHROMODYNAMICS, O(1, N-F)
Subjects: ?? QC ??
Divisions: Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User: Symplectic Admin
Date Deposited: 20 Aug 2008 10:05
Last Modified: 14 Oct 2023 15:32
DOI: 10.1016/S0370-2693(00)00879-0
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/594
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