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Review of AdS/CFT Integrability, Chapter I.2: The Spectrum from Perturbative Gauge Theory

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We review the constructions and tests of the dilatation operator and of the spectrum of composite operators in the flavour SU(2) subsector of \({\mathcal{N}=4}\) 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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  1. Institut für Mathematik und Institut für Physik, Humboldt-Universität zu Berlin, Johann von Neumann Haus, Rudower Chaussee 25, 12489, Berlin, Germany

    Christoph Sieg

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Sieg, C. Review of AdS/CFT Integrability, Chapter I.2: The Spectrum from Perturbative Gauge Theory. Lett Math Phys 99, 59–84 (2012). https://doi.org/10.1007/s11005-011-0508-7

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