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          Institute: MPI für Gravitationsphysik     Collection: Quantum Gravity and Unified Theories     Display Documents



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ID: 433332.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Analytic solution of the multiloop Baxter equation
Authors:Beccaria, M.; Belitsky, A. V.; Kotikov, A. V.; Zieme, S.
Date of Publication (YYYY-MM-DD):2010
Title of Journal:Nuclear Physics B
Volume:827
Start Page:565
End Page:606
Review Status:not specified
Audience:Not Specified
Abstract / Description:The 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 $sl(2)$ 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 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.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:LOCALID:arXiv:0908.0520
DOI:10.1016/j.nuclphysb.2009.10.030
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