An Exact Solution to the Yukawa System in Four Dimensions

Abstract

An exact, closed form solution to the scalar Yukawa system in four dimensions is presented. The formalism is used to state and prove a theorem on the initial value problem. The method also works for a general, iso-vector form of the interacting system. We close with some comments on the quantum version of this problem.

This paper has been withdrawn by the author due to a conceptual error in the domain of definition of the proposed solution