"Field-shell" of the self-interacting quantum electron

Abstract

Self-interacting dynamics of non-local Dirac's electron has been proposed. This dynamics was revealed by the projective representation of operators corresponding to spin/charge degrees of freedom. Energy-momentum field is described by the system of quasi-linear ``field-shell" PDE's following from the conservation law expressed by the affine parallel transport in $CP(3)$ \cite{Le1}. We discuss here solutions of these equations in the connection with the following problems: curvature of $CP(3)$ as a potential source of electromagnetic fields and the self-consistent problem of the electron mass.

14 pages

References in corpus (4)

• Unparticle Physics
• Another Odd Thing About Unparticle Physics
• Un-particle Effective Action
• Self-interacting quantum electron

Cited by in corpus (1)

• Self-interacting Electron as the Gauge Field Under the Ultimate Separation of the Absolute Quantum Motions