We construct universal parton evolution equation that produces space- and time-like anomalous dimensions for the maximally super-symmetric N = 4 Yang-Mills field theory model, and find that its kernel satisfies the Gribov-Lipatov reciprocity relation in three loops. Given a simple structure of the evolution kernel, this should help to generate the major part of multi-loop contributions to QCD anomalous dimensions, due to classical soft gluon radiation effects. (c) 2007 Elsevier B.V. All rights reserved.
Dokshitzer, Y., Marchesini, G. (2007). N=4 SUSY Yang-Mills: Three loops made simple(r). PHYSICS LETTERS. SECTION B, 646(4), 189-201 [10.1016/j.physletb.2007.01.016].
N=4 SUSY Yang-Mills: Three loops made simple(r)
MARCHESINI, GIUSEPPE
2007
Abstract
We construct universal parton evolution equation that produces space- and time-like anomalous dimensions for the maximally super-symmetric N = 4 Yang-Mills field theory model, and find that its kernel satisfies the Gribov-Lipatov reciprocity relation in three loops. Given a simple structure of the evolution kernel, this should help to generate the major part of multi-loop contributions to QCD anomalous dimensions, due to classical soft gluon radiation effects. (c) 2007 Elsevier B.V. All rights reserved.
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