Time-Ordered Green's Functions and Perturbation Theory

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Abstract
A formulation of field theories based on the generalized unitarity condition and parametric dispersion relations is presented. In the perturbation theory we discuss the connection between the present scheme and the Lagrangian theory and derive the renormalizability condition in our formulation. Finally we show for typical processes in the first, second, third, and fourth orders that our theory can reproduce the renormalized Feynman perturbation theory.