Wrapping at four loops in N=4 SYM

摘要

We present the planar four-loop anomalous dimension of the composite operator tr(phiZ.phiZ) in the flavour SU(2) sector of the N = 4 SYM theory. At this loop order wrapping interactions are present: they give rise to contributions proportional to (5) increasing the level of transcendentality of the anomalous dimension. In a sequel of this Letter all the details of our calculation will be reported. (c) 2008 Elsevier B.V. All rights reserved.