Some remarks on constructive Yukawa theory in four dimensions

Abstract

We have found an exact solution to the nonlinear Yukawa system in four dimensions, and used it to derive the time development of the system. Theorems are stated and proved regarding the essential self-adjointness of the operator solutions. Suggestions are given to complete the task of proving existence of the theory in the Wightman sense. An explicit statement of all new results obtained in this research is the content of Chapter 10.