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On stability of renormalized classical electrodynamics

2003/05/29 by Jerzy Kijowski, Kijowski, Jerzy, Marcin Koscielecki +2
Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Geophysics and Sensor Technology #Mechanical and Optical Resonators #Quantum Mechanics and Applications #physics.class-ph

paper · pdf · doi:10.48550/arxiv.physics/0305123

LaTeX (Revtex4) file, 14 pages, 5 figures

arxiv created 2003/05/29 · openalex publication_date 2003/05/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the total energy of the static "field + particle" system, defined in the framework of classical, renormalized electrodynamics of particles and fields, depends in an unstable way upon the field boundary data. It is argued that this phenomenon may be also an origin of the unstable dynamical behaviour of the system (i.e. existence of "runaway solutions"). It is proved that a suitable polarization mechanism of the particle restores the stability, at least on the level of statics. Whether or not it restores also the full, dynamical stability of the theory is still an open question.

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