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

TL;DR

This paper verifies a four-loop Feynman diagram summation method in N=1 supersymmetric electrodynamics using Schwinger-Dyson equations and Ward identities, confirming an additional Green function identity.

Contribution

It provides a four-loop verification of a summation method based on Schwinger-Dyson equations and Ward identities in supersymmetric electrodynamics, including a proof of a new Green function identity.

Findings

Verification of the summation method at four loops

Proof of an additional Green function identity

Confirmation of method accuracy in supersymmetric context

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.