Abstract
We calculate the renormalization constants of the N = 1 , N = 2 , N = 4 supersymmetric Yang–Mills theories in an arbitrary covariant gauge in the dimensional reduction scheme up to three loops. We have found, that the beta-functions for N = 1 and N = 4 SYM theories are the same from the different triple vertices. This means that the dimensional reduction scheme works correctly in these models up to third order of perturbative theory.
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