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

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

2006-12-22

arxiv.org/abs/hep-th/0612248v1

Phys.Lett.B646:189-201,2007

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 1 figure

Scientific paper

10.1016/j.physletb.2007.01.016

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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