Currents and Hadron Dynamics

Abstract

In this paper we continue the investigation of the preceding paper into the possibility that complete, dynamical theories can be formulated in terms of current densities and related operators. Here, these ideas are illustrated by showing how a model of self-interacting charged scalar mesons can be formulated in conformity with them. Because of the relative simplicity of this model as compared to other, more realistic, relativistic models, it is possible to take up in some detail topics like the irreducibility of the coordinates, the Heisenberg equations of motion for the current densities, the determination of the energy-momentum tensor by its equal-time commutation relations, and the use of functional representations of current algebras. It is also shown how electromagnetism can be incorporated into strong-interaction theories based on currents. The results of these two papers are reviewed and an attempt is made to abstract from them a tentative set of working hypotheses.