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

Apr, 2004
12 pages
Published in:
  • Phys.Lett.B 595 (2004) 521-529,
  • Phys.Lett.B 632 (2006) 754-756 (erratum)
e-Print:
Report number:
  • WSU-HEP-0405

Citations per year

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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.
Note:
  • LaTeX file, 13 pages, no figures. Some corrections, additional remarks and references. In the last version the analysis of anomalous dimension at j -> 2 was improved
  • gauge field theory: Yang-Mills
  • supersymmetry
  • scaling: violation
  • perturbation theory: higher-order
  • higher-order: 3