Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
Christoph Sieg
Sieg
Christoph
Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
Christoph Sieg
MSC 2000
 81T18 Feynman diagrams

81T13 YangMills and other gauge theories
Abstract
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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