Rationality of the Anomalous Dimensions in N=4 SYM theory

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.

20 pages, LaTeX

References in corpus (3)

• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Superconformal Ward Identities and their Solution
• A three-loop test of the dilatation operator in N=4 SYM

Cited by in corpus (2)

• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry