Rationality of the anomalous dimensions in image SYM theory Original Research Article

We reconsider the general constraints on the perturbative anomalous dimensions in conformal invariant QFT and in particular in image SYM with gauge group image. 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 image SYM theory the coefficients of these polynomials are rational functions of the number of colours N.