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 ) . 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.
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