Four-loop verification of algorithm for Feynman diagrams summation in N=1 supersymmetric electrodynamics

Abstract

A method of Feynman diagrams summation, based on using Schwinger-Dyson equations and Ward identities, is verified by calculating some four-loop diagrams in N=1 supersymmetric electrodynamics, regularized by higher derivatives. In particular, for the considered diagrams correctness of an additional identity for Green functions, which is not reduced to the gauge Ward identity, is proved.

14 pages, 9 figures

References in corpus (4)

• Three-loop $\beta$-function for N=1 supersymmetric electrodynamics, regularized by higher derivatives
• Two-loop renormalization of 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

Cited by in corpus (9)

• Derivation of the exact NSVZ beta-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
• Non-renormalization of the $V\bar{c}c$-vertices in $\mathcal{N}=1$ supersymmetric theories
• The NSVZ beta-function and the Schwinger-Dyson equations for N=1 SQED with N_f flavors, regularized by higher derivatives
• New form of the NSVZ relation at the two-loop level
• Summation of diagrams in N=1 supersymmetric electrodynamics, regularized by higher derivatives
• Contribution of matter fields to the Gell-Mann-Low function for N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives
• Factorization of integrals, defining the beta-function, into integrals of total derivatives in N=1 SQED, regularized by higher derivatives
• 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