Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-12-17
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated, v3: formulations improved, refe
Scientific paper
We review the constructions and tests of the dilatation operator and of the spectrum of composite operators in the flavour SU(2) subsector of N=4 SYM in the planar limit by explicit Feynman graph calculations with emphasis on analyses beyond one loop. From four loops on, the dilatation operator determines the spectrum only in the asymptotic regime, i.e. to a loop order which is strictly smaller than the number of elementary fields of the composite operators. We review also the calculations which take a first step beyond this limitation by including the leading wrapping corrections.
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