Mutually interacting charge fields: a new approach to gauge theoretical formulations of elementary-particle processes

The ''charge field'' approach to particle processes is illustrated in the context of the most celebrated of all gauge theories, electrodynamics. It is based on the paradigm that ''charges'' and their associated ''fields'' are permanently connected in ''charge-field'' unit dynamical structures, with physical processes corresponding to mutual interactions between different charge-field units. A finite formulation of classical electron theory is seen to emerge from this program, and seems to play the role of a covering theory for renormalized Maxwell-Lorentz theory. However a distinct advantage of this new approach is that it is completely finite and self-consistent, and requires no infinite subtraction processes for its evaluation of observable physical quantities. The ultimate value of this new approach lies in the quantum domain and possible approaches to quantization which might lead to a better formulation of quantum electrodynamics, and by analogous extention, to a better formulation of quantized gauge theories are discussed