On the quantum electrodynamics of mutually interacting charge-fields. A new approach to photon quantization in electron-positron processes

Abstract

The « charge-field » approach to electrodynamics, in the microcosm, is based on the paradigm that « charges » and their associated electromagnetic « fields » are permanently connected in « chargefield » functional structures, with physical processes being described by the interactions between various « charge-field » entities. It has been shown that, at the classical and semi-classical level, this approach is completely finite and self-consistent and requires no « infinite » subtraction programs for the evaluation of observable physical quantities.In a holetheoretic «secondquantized »formulation of this theory, presented here, quantizing the «charges » (associated with Dirac anticommutation relations for electronpositron operators) automatically quantizes the electromagnetic «chargefield » operators. This generates « photon » states as a secondary dynamical manifestation of electronpositron quantization. In this paper, we discuss a possible approach to the second quantization of « chargefields », in the Heisenberg picture, which might lead to a better formulation of quantum electrodynamics.