A three-loop test of the dilatation operator in N=4 SYM
High Energy Physics - Theory
2010-04-05 v3
Abstract
We compute the three-loop anomalous dimension of the BMN operators with charges J=0 (the Konishi multiplet) and J=1 in N=4 super-Yang-Mills theory. We employ a method which effectively reduces the calculation to two loops. Instead of using the superconformal primary states, we consider the ratio of the two-point functions of suitable descendants of the corresponding multiplets. Our results unambiguously select the form of the N=4 SYM dilatation operator which is compatible with BMN scaling. Thus, we provide evidence for BMN scaling at three loops.
Cite
@article{arxiv.hep-th/0409009,
title = {A three-loop test of the dilatation operator in N=4 SYM},
author = {B. Eden and C. Jarczak and E. Sokatchev},
journal= {arXiv preprint arXiv:hep-th/0409009},
year = {2010}
}
Comments
38 pages LaTeX, 4 figures, references added