The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in \({\mathcal N}=4\) SYM and non-singlet QCD
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Publication:632399
DOI10.1016/J.NUCLPHYSB.2011.01.004zbMATH Open1208.81209arXiv1008.2752OpenAlexW2134006291MaRDI QIDQ632399
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Publication date: 24 March 2011
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1008.2752
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