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

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.

20 pages, 4 figures

References in corpus (6)

• $N=1$ supersymmetry and the three loop gauge beta function
• $N=1$ supersymmetry and the three loop anomalous dimension for the chiral superfield
• Three-loop $\beta$-function for N=1 supersymmetric electrodynamics, regularized by higher derivatives
• Investigation of the anomaly puzzle in N=1 supersymmetric electrodynamics
• Summation of diagrams in N=1 supersymmetric electrodynamics, regularized by higher derivatives
• Four-loop verification of algorithm for Feynman diagrams summation in N=1 supersymmetric electrodynamics

Cited by in corpus (3)

• Two-loop Gell-Mann-Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives
• Verification of new identity for the Green functions in N=1 supersymmetric non-Abelian Yang--Mills theory with the matter fields
• Towards proof of new identity for Green functions in N=1 supersymmetric electrodynamics