NSVZ relation and NSVZ scheme in N=1 non-Abelian supersymmetric gauge theoriesстатья
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Дата последнего поиска статьи во внешних источниках: 28 октября 2020 г.
Аннотация:We briefly describe the perturbative derivation of the exact NSVZ $\beta$-function for ${\cal N}=1$ 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 the 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 $\ln\Lambda/\mu$. 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.