Contribution of matter fields to the Gell-Mann-Low function for N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives

TL;DR

This paper calculates how matter fields influence the Gell-Mann-Low function in N=1 supersymmetric Yang-Mills theory with higher covariant derivative regularization, using Schwinger-Dyson equations and Slavnov-Taylor identities.

Contribution

It provides a novel calculation of matter field contributions to the Gell-Mann-Low function in this specific regularization scheme, exploring potential deviations from the exact NSVZ beta-function.

Findings

Derived the matter contribution using Schwinger-Dyson equations.

Discussed possible deviations from the NSVZ beta-function.

Analyzed the impact of higher covariant derivatives on the results.

Abstract

Contribution of matter fields to the Gell-Mann-Low function for N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives, is obtained using Schwinger-Dyson equations and Slavnov-Tailor identities. A possible deviation of the result from the corresponding contribution in the exact Novikov, Shifman, Vainshtein and Zakharov $\beta$-function is discussed.