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Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model

A. V. Kotikov·L. N. Lipatov·A. I. Onishchenko·V. N. Velizhanin
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Abstract

We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills model. These results are obtained by extracting the most complicated contributions from the three loop non-singlet anomalous dimensions in QCD which were calculated recently. Their singularities at j=1 agree with the predictions obtained from the BFKL equation for N=4 SYM in the next-to-leading order. The asymptotics of universal anomalous dimension at large j is in an agreement with the expectations based on an interpolation between weak and strong coupling regimes in the framework of the AdS/CFT correspondence.

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A. V. Kotikov, L. N. Lipatov, A. I. Onishchenko, V. N. Velizhanin. 2005-10-03. Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model. https://doi.org/10.1016/j.physletb.2004.05.078

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