On stability of renormalized classical electrodynamics

Details On stability of renormalized classical electrodynamics On stability of renormalized classical electrodynamics

2003-05-29

arxiv.org/abs/physics/0305123v1

Physics

Classical Physics

LaTeX (Revtex4) file, 14 pages, 5 figures

Scientific paper

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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