A Derivation of a Complete Set of Dispersion Relations and an Examination of their Physical Content

摘要

The structure of the transition matrices for all processes that can occur for a class of fixed source meson theories is studied. The model consists of scalar meson field coupled to an extended source in such a way that any finite number of quanta can be emitted or absorbed at a given time (multiple vertices), but that all interactions are restricted to be S-save in nature. The general reaction matrix element for m incident an n emergent particles contains many terms describing sequences of independent processes, which must be removed before one obtains a proper object for studies of a dispersion theoretic nature