Mass and Spin Renormalization in Lorentz Electrodynamics

Details Mass and Spin Renormalization in Lorentz Electrodynamics Mass and Spin Renormalization in Lorentz Electrodynamics

2000-09-02

arxiv.org/abs/math-ph/0009003v2

Annals Phys. 289 (2001) 24-83

Physics

Mathematical Physics

LaTeX, 70 pages, 2 eps figures, submitted; a small computational blunder in Eq. (10.25)ff of earlier version has been correcte

Scientific paper

10.1006/aphy.2000.6119

A new, relativistically covariant, massive Lorentz Electrodynamics (LED) is presented in which the bare particle has a finite positive bare rest mass and moment of inertia. The particle's electromagnetic self-interaction renormalizes its mass and spin. Most crucially, the renormalized particle is a soliton: after any scattering process its rest mass and spin magnitude are dynamically restored to their pre-scattering values. This guarantees that ``an electron remains an electron,'' poetically speaking. A renormalization flow study of the limit of vanishing bare rest mass is conducted for this model. This limit yields a purely electromagnetic classical field theory with ultra-violet cutoff at about the electron's Compton wavelength! The renormalized limit model matches the empirical electron data as orderly as one can hope for at the level of Lorentz theory. In particular, no superluminal equatorial gyration speeds occur.

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