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

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arxiv hep-th/0404092 v5 pith:GCSJ3IKE submitted 2004-04-13 hep-th hep-ph

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

A.V. Kotikov (Dubna , JINR) , L.N. Lipatov (St. Petersburg , INP) , A.I. Onishchenko (Wayne State U. & Moscow , ITEP) , V.N. Velizhanin (St. Petersburg This is my paper
classification hep-th hep-ph
keywords anomalousdimensionuniversalmodelobtainedoperatorsresultsthree-loop
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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