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N=4 SUSY Yang--Mills: three loops made simple(r)

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arxiv hep-th/0612248 v1 pith:3MO6P766 submitted 2006-12-22 hep-th hep-ph

N=4 SUSY Yang--Mills: three loops made simple(r)

classification hep-th hep-ph
keywords anomalousdimensionsevolutionkernelloopssimplethreeyang--mills
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 6 Pith papers

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