We discuss why the Slavnov higher covariant derivative regularization appeared to be an excellent instrument for investigating quantum corrections in supersymmetric gauge theories. For example, it allows demonstrating that the β-function in these theories is given by integrals of double total derivatives and to construct the Novikov-Shifman-Vainshtein-Zakharov (NSVZ) renormalization prescription in all loops. It was also used to derive the non-renormalization theorem for the triple gauge-ghost vertices. With the help of this theorem the exact NSVZ β-function was rewritten in a new form, which revealed its perturbative origin. Moreover, in the case of using the higher covariant derivative regularization, it is possible to construct a method for obtaining the β-function of N = 1 supersymmetric gauge theories, which simplifies the calculations to a great extent. This method is illustrated by an explicit two-loop calculation made in the general ξ-gauge.

中文翻译：

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高协变微分正则化作为揭示超对称量规理论中量子校正结构的工具

我们讨论了为什么Slavnov高协方变量导数正则化似乎是研究超对称规范理论中量子校正的出色工具。例如，它可以证明这些理论中的β-函数由双全导数的积分给出，并可以在所有循环中构造Novikov-Shifman-Vainshtein-Zakharov（NSVZ）重整化处方。它也用于导出三重量规-幻影顶点的非重归化定理。有了这个定理的帮助下准确NSVZ β -函数是在一个新的形式，透露了其微扰起源改写。此外，在使用较高协方差导数正则化的情况下，可以构造一种用于获得β的β函数的方法。N = 1个超对称轨距理论，在很大程度上简化了计算。通过在常规ξ规中进行的显式两环计算来说明此方法。