Three point SUSY Ward identities without Ghosts
M.L.Walker

TL;DR
This paper introduces a novel non-local gauge transform in SUSY QED that enables the derivation of ghost-free SUSY Ward identities for two- and three-point functions, maintaining SUSY algebra consistency.
Contribution
It presents a new method using a non-local gauge transform to derive ghost-free SUSY Ward identities without ghosts, preserving SUSY algebra modulo gauge fixing.
Findings
Derived two- and three-point ghost-free SUSY Ward identities.
Established identities for proper functions using cluster decomposition.
Maintained SUSY algebra invariance modulo gauge fixing.
Abstract
We utilise a non-local gauge transform which renders the entire action of SUSY QED invariant and respects the SUSY algebra modulo the gauge-fixing condition, to derive two- and three-point ghost-free SUSY Ward identities in SUSY QED. We use the cluster decomposition principle to find the Green's function Ward identities and then takes linear combinations of the latter to derive identities for the proper functions.
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