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An Ansatz is proposed for the asymptotic field of a charged particle which gives the known power-law behavior ({p^2-m^2+i) }^-1-, 0, for the electron propagator near the mass shell. This allows the electron-wave-function renormalization to be related to the normalization of the asymptotic field. A reduction formula is presented, expressing the S matrix in terms of Green's functions which are evaluated according to a precise on-mass-shell renormalization prescription.
Daniel Zwanziger (Mon,) studied this question.