Abstract

The spectrum of anomalous dimensions of gauge-invariant operators in maximally super- symmetric Yang-Mills theory is believed to be described by a long-range integrable spin chain model. We focus in this study on its sl(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 anomalous dimensions, using Wilson polynomials as basis functions and Mellin transform technique. These considerations yield compact results which allow ana- lytical 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.

Autore Pugliese

• Beccaria Matteo

Tutti gli autori

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

Titolo volume/Rivista

NUCLEAR PHYSICS. B

Anno di pubblicazione

2010

ISSN

0550-3213

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

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Numero di citazioni Scopus

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Ultimo Aggiornamento Citazioni

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Settori ERC

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Codici ASJC

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