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Anomalous dimensions of Wilson operators in the \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory

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We present results for the universal anomalous dimension γun(j) of Wilson twist-2 operators in the \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory in the first three orders of the perturbation theory. We obtain these expressions by extracting the most complicated terms from the corresponding anomalous dimensions in QCD. The result obtained agrees with the hypothesis of the integrability of the \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory in the context of the AdS/CFT correspondence.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Oblast, Russia

    A. V. Kotikov

  2. St. Petersburg Nuclear Physics Institute, Gatchina, Leningrad Oblast, Russia

    L. N. Lipatov, A. I. Onishchenko & V. N. Velizhanin

  3. Institut für Theoretische Physik, Universität Hamburg, Hamburg, Germany

    L. N. Lipatov, A. I. Onishchenko & V. N. Velizhanin

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  1. A. V. Kotikov
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  3. A. I. Onishchenko
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  4. V. N. Velizhanin
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 2, pp. 249–262, February, 2007.

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Kotikov, A.V., Lipatov, L.N., Onishchenko, A.I. et al. Anomalous dimensions of Wilson operators in the \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory. Theor Math Phys 150, 213–224 (2007). https://doi.org/10.1007/s11232-007-0016-1

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