Abstract
If the data of the Dirac spinor field is suitably chosen, global solutions of the Klein-Gordon-Dirac Equations with Yukawa coupling are shown to exist for which the meson field remains free. In one space dimension, conditions are found under which the spinor field does not decay uniformly to zero, thus precluding a scattering theory in the H1 (IR1) norm. In three space dimensions, the existence of free Hn(103) (n≧0) asymptotic spinors is established and a scattering theory is developed.
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