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arXiv · 1008.2752

The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD

V. N. Velizhanin
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Abstract

We present the result of a full direct component calculation for the first three even moments of the non-planar contribution into the four-loop anomalous dimension of twist-2 operators in maximally extended N=4 supersymmetric Yang-Mills theory. Obtained result complete our previous calculations in arXiv:0902.4646 and gives the usual result for the higher moments on the contrary to degenerate one in the case of Konishi. We have proposed a general form of zeta(5) and zeta(3) parts of the full non-planar anomalous dimension of twist-2 operators. As by product, we have obtained the first moment of the non-planar contribution to the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD.

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V. N. Velizhanin. 2011-01-06. The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD. https://doi.org/10.1016/j.nuclphysb.2011.01.004

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