Rationality of the Anomalous Dimensions in N=4 SYM theory

Details Rationality of the Anomalous Dimensions in N=4 SYM theory Rationality of the Anomalous Dimensions in N=4 SYM theory

2005-03-10

arxiv.org/abs/hep-th/0503084v1

Nucl.Phys. B721 (2005) 212-228

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX

Scientific paper

10.1016/j.nuclphysb.2005.06.004

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.

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