Renormalization of Time-Ordered Green's Functions

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Abstract
The renormalization of time-ordered Green's functions is carried out without reference to Feynman diagrams. The arguments are entirely based on the generalized unitarity condition and the parametric dispersion relations. The renormalization of the meson-nucleon interaction is studied, and then a close examination is given of the renormalization of quantum electrodynamics in a special gauge. Finally the connection between the subtraction constants in dispersion relations and renormalization constants is clarified in a simple model.