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  Analytic solution of the multiloop Baxter equation

Beccaria, M., Belitsky, A. V., Kotikov, A. V., & Zieme, S. (2009). Analytic solution of the multiloop Baxter equation. Nuclear Physics B, 827, 565-606. doi:0.1016/j.nuclphysb.2009.10.030.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-60A7-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-60A9-4
Genre: Journal Article

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0908.0520v2.pdf (Preprint), 394KB
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 Creators:
Beccaria, M., Author
Belitsky, A. V., Author
Kotikov, A. V., Author
Zieme, Stefan1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: 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.

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 Dates: 2009
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: DOI: 0.1016/j.nuclphysb.2009.10.030
Other: arXiv:0908.0520
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Title: Nuclear Physics B
Source Genre: Journal
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Publ. Info: Amsterdam : North-Holland
Pages: - Volume / Issue: 827 Sequence Number: - Start / End Page: 565 - 606 Identifier: Other: 954925564667
Other: 0550-3213