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Non-planar anomalous dimension of twist-2 operators: higher moments at four loops

2014/04/30 by V. N. Velizhanin
Physics and Astronomy · #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2014.06.021

13 pages, 3 figures, references added. arXiv admin note: text overlap with arXiv:1008.2752

arxiv created 2014/05/05 · arxiv updated 2015/06/19

Abstract

We compute the non-planar contribution to the anomalous dimension of the eight moment of the twist-2 operators in N=4 supersymmetric Yang-Mills theory at four loops. This result was obtained from the calculations of some elements of the anomalous dimension matrix for twist-2 operators with the help of a relations between its elements and eigenvalues. The properties of the obtained result and a possible relations with a planar results are discussed.

Citations