Towards proof of new identity for Green functions in N=1 supersymmetric electrodynamics

TL;DR

This paper proposes a method to prove a new identity for Green functions in N=1 supersymmetric electrodynamics, demonstrating that certain contributions to the identity are zero, advancing understanding of supersymmetric quantum field theories.

Contribution

It introduces a novel method to approach the proof of a new identity for Green functions in supersymmetric electrodynamics, with partial validation.

Findings

Some contributions to the new identity are shown to be zero

The method provides a pathway for future proofs in supersymmetric theories

Advances the theoretical understanding of Green functions in supersymmetry

Abstract

For the N=1 supersymmetric massless electrodynamics, regularized by higher derivatives, we describe a method, by which one can try to prove the new identity for the Green functions, which was proposed earlier. Using this method we show that some contribution to the new identity are really 0.