Analytic solution of the multiloop Baxter equation

M. Beccaria, Andrei Belitsky, A. V. Kotikov, S. Zieme

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


The asymptotic spectrum of anomalous dimensions of gauge-invariant operators in maximally supersymmetric Yang-Mills theory is believed to be described by a long-range integrable spin chain model. We focus in this study on its s l (2) subsector spanned by the twist-two single-trace Wilson operators, which are shared by all gauge theories, supersymmetric or not. We develop a formalism for the solution of the perturbative multiloop Baxter equation encoding their asymptotic anomalous dimensions, using Wilson polynomials as basis functions and Mellin transform technique. These considerations yield compact results which allow analytical calculations of multiloop anomalous dimensions bypassing the use of the principle of maximal transcendentality. As an application of our method we analytically confirm the known four-loop result. We also determine the dressing part of the five-loop anomalous dimensions.

Original languageEnglish (US)
Pages (from-to)565-606
Number of pages42
JournalNuclear Physics B
Issue number3
StatePublished - Mar 11 2010

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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