Some aspects of N = 1 SYM renormalization
Moscow State University, Physical Faculty, Department of Theoretical Physics, 119991 Moscow, Russia
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Published online: 28 October 2016
Using the BRST invariant version of the higher covariant derivative regularization, we demonstrate that in N = 1 supersymmetric gauge theories the three-point vertices with two ghost legs and a single leg of the quantum gauge superfield are finite in all orders. This theorem is proved by the help of the Slavnov–Taylor identities and the supergraph technique. Its correctness is verified by explicit one-loop calculation. Using finiteness of the considered vertices we express the NSVZ relation in terms of the anomalous dimensions of the gauge superfield, of the Faddeev–Popov ghosts, and of the matter superfields.
© The Authors, published by EDP Sciences, 2016
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