NSVZ Relation and NSVZ Scheme in N=1 Non-Abelian Supersymmetric Gauge Theories

摘要

We briefly describe the perturbative derivation of the exact NSVZ beta-function for N = 1 supersymmetric non-Abelian gauge theories in the case of using the higher covariant derivative regularization. It is demonstrated that with this regularization the NSVZ equation written in the form of a relation between the beta-function and the anomalous dimensions of the quantum superfields is satisfied by the renormalization group functions defined in terms of the bare couplings independently of a renormalization prescription. For the renormalization group functions defined in terms of the renormalized couplings this implies that one of the NSVZ schemes in all loops is given by the HD+MSL prescription, when the theory is regularized by higher derivatives and the renormalization constants contain only powers of in Lambda/mu. All these statements are verified by comparing certain terms in the three-loop beta-function with the corresponding contributions to anomalous dimensions of the quantum superfields.