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arxiv: hep-th/0310098 · v1 · submitted 2003-10-10 · ✦ hep-th

A Completely Invariant SUSY Transform of Supersymmetric QED

classification ✦ hep-th
keywords susygaugetransformationlorentzbreakingconditionderivemodified
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We study the SUSY breaking of the covariant gauge-fixing term in SUSY QED and observe that this corresponds to a breaking of the Lorentz gauge condition by SUSY. Reasoning by analogy with SUSY's violation of the Wess-Zumino gauge, we argue that the SUSY transformation, already modified to preserve Wess-Zumino gauge, should be further modified by another gauge transformation which restores the Lorentz gauge condition. We derive this modification and use the resulting transformation to derive a Ward identitiy relating the photon and photino propagators without using ghost fields. Our transformation also fulfills the SUSY algebra, modulo terms that vanish in Lorentz gauge.

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