Investigation of the anomaly puzzle in N=1 supersymmetric electrodynamics

TL;DR

This paper uses advanced quantum field theory techniques to exactly compute certain Green functions and beta-functions in N=1 supersymmetric electrodynamics, shedding light on the anomaly puzzle.

Contribution

It demonstrates the exact calculation of contributions to Green functions and beta-functions in N=1 supersymmetric electrodynamics using Schwinger-Dyson equations and Ward identities.

Findings

Exact all-order contributions to the two-point Green function

Insights into the anomaly puzzle in supersymmetric theories

Application of higher derivative regularization methods

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.