Abstract
The infrared coherent states developed by Faddeev and Kulish are used to construct the path-integral representation of quantum electrodynamics. The result shows that the time-ordered products of the asymptotic fields, previously evaluated within the operator formulation, can be derived from the functional formalism. This is accomplished by retaining a nonlocal piece of the original vertex when defining the perturbation series. The resulting path integral allows exact evaluation through a nonperturbative change of spinor variables and the use of the classical solution to the gauge field equation of motion in the presence of a point source moving at constant velocity. Extension of this functional technique to the renormalized theory and to massless nonlinear theories is briefly discussed.
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