Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2014-08

V.N. Velizhanin


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


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.


Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2014-08


12 pp.