Nonlocal regularization of supersymmetric QED

We apply the technique of nonlocal regularization to the supersymmetric version of quantum electrodynamics. The regulated classical theory is shown to be manifestly supersymmetric, and invariant under a nonlocal gauge transformation. Provided that a suitable measure factor exists (we show that it exists to lowest nontrivial order), the quantum theory is pertubatively unitary. The lowest order corrections to the gauge field kinetic term are computed and shown to possess the correct properties.