Investigation of the anomaly puzzle in N=1 supersymmetric electrodynamics

Abstract

Using Schwinger-Dyson equations and Ward identities in N=1 supersymmetric electrodynamics, regularized by higher derivatives, we find, that it is possible to calculate some contributions to the two-point Green function of the gauge field and to the beta-function exactly to all orders of the perturbation theory. The results are applied for the investigation of the anomaly puzzle in the considered theory.

LaTeX, 22 pages, 1 eps figure

Cited by in corpus (14)

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• The all-loop perturbative derivation of the NSVZ $\beta$-function and the NSVZ scheme in the non-Abelian case by summing singular contributions
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• 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
• Subtleties in the beta function calculation of N=1 supersymmetric gauge theories
• Multiloop calculations in supersymmetric theories with the higher covariant derivative regularization
• Finiteness of N =4 super-Yang-Mills effective action in terms of dressed N =1 superfields
• 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
• Towards proof of new identity for Green functions in N=1 supersymmetric electrodynamics
• Verification of new identity for the Green functions in N=1 supersymmetric non-Abelian Yang--Mills theory with the matter fields