English

Rationality of the Anomalous Dimensions in N=4 SYM theory

High Energy Physics - Theory 2010-04-05 v1

Abstract

We reconsider the general constraints on the perturbative anomalous dimensions in conformal invariant QFT and in particular in N=4 SYM with gauge group SU(N_c). We show that all the perturbative corrections to the anomalous dimension of a renormalized gauge invariant local operator can be written as polynomials in its one loop anomalous dimension. In the N=4 SYM theory the coefficients of these polynomials are rational functions of the number of colours N_c.

Keywords

Cite

@article{arxiv.hep-th/0503084,
  title  = {Rationality of the Anomalous Dimensions in N=4 SYM theory},
  author = {Luigi Genovese and Yassen S. Stanev},
  journal= {arXiv preprint arXiv:hep-th/0503084},
  year   = {2010}
}

Comments

20 pages, LaTeX