Authors: Clyde Dean Chlouber
This paper analyses charge stability and applies the resulting stability principle to resolve divergence issues in quantum field theory without renormalization. For quantum electrodynamics (QED), stability is enforced by requiring that the positive electromagnetic field energy be balanced by a negative interaction energy between the observed electron charge and a local vacuum potential. Then in addition to the observed core mechanical mass m, an electron system consists of two electromagnetic mass components of equal magnitude M but opposite sign; consequently, the net electromagnetic mass is zero. Two virtual, electromagnetically dressed mass levels m±M, constructed to form a complete set of mass levels and isolate the electron-vacuum interaction, provide essential S-matrix corrections for radiative processes involving infinite field actions. Total scattering amplitudes for radiative corrections are shown to be convergent in the limit M → ∞ and equal to renormalized amplitudes when Feynman diagrams for all mass levels are included. In each case, the infinity in the core mass amplitude is canceled by the average amplitude for electromagnetically dressed mass levels, which become separated in intermediate states and account for the stabilizing interaction energy between an electron and its surrounding polarized vacuum. In this manner, S-matrix corrections in QED are shown to be finite for any order diagram in perturbation theory, all the while maintaining the mass and charge at their physically observed values. Charge stability corrections, applied to one-loop diagrams of non-Abelian gauge theory, also yield finite results without renormalization. The results demonstrate that quantum field theory is scale invariant.
Comments: 17 Pages.
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