Summation of diagrams in N=1 supersymmetric electrodynamics, regularized by higher derivatives

TL;DR

This paper analyzes the summation of specific Feynman diagrams in massless N=1 supersymmetric electrodynamics with higher-derivative regularization, deriving a special identity for Green functions that captures divergent parts not obtainable from standard equations.

Contribution

It introduces a method to partially sum certain Feynman diagrams and derives a new identity for Green functions in the context of supersymmetric electrodynamics with higher-derivative regularization.

Findings

Partial summation of divergent Feynman diagrams

Derivation of a special Green function identity

Insights into regularization effects on diagram summation

Abstract

For the massless N=1supersymmetric electrodynamics, regularized by higher derivatives, the Feynman diagrams, which define the divergent part of the two-point Green function and can not be found from Schwinger-Dyson equations and Ward identities, are partially summed. The result can be written as a special identity for Green functions.