Wrapping at four loops in N=4 SYM
High Energy Physics - Theory
2008-11-26 v3
Abstract
We present the planar four-loop anomalous dimension of the composite operator tr(phi[Z,phi]Z) 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 zeta(5) increasing the level of transcendentality of the anomalous dimension. In a sequel of this paper all the details of our calculation will be reported.
Cite
@article{arxiv.0712.3522,
title = {Wrapping at four loops in N=4 SYM},
author = {F. Fiamberti and A. Santambrogio and C. Sieg and D. Zanon},
journal= {arXiv preprint arXiv:0712.3522},
year = {2008}
}
Comments
LaTeX, 10 pages, 1 table; v2: sign changed in W_1 of Fig.1 and corresponding correction for the coeff. of zeta(3) in the final result, references added; v3: version published in Phys.Lett.B