dorsal/arxiv
View SchemaOn stability of renormalized classical electrodynamics
| Authors | Jerzy Kijowski, Marcin Koscielecki |
|---|---|
| Categories | |
| ArXiv ID | physics/0305123 |
| URL | https://arxiv.org/abs/physics/0305123 |
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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"abstract": "It is shown that the total energy of the static \"field + particle\" system,\ndefined in the framework of classical, renormalized electrodynamics of\nparticles and fields, depends in an unstable way upon the field boundary data.\nIt is argued that this phenomenon may be also an origin of the unstable\ndynamical behaviour of the system (i.e. existence of \"runaway solutions\"). It\nis proved that a suitable polarization mechanism of the particle restores the\nstability, at least on the level of statics. Whether or not it restores also\nthe full, dynamical stability of the theory is still an open question.",
"arxiv_id": "physics/0305123",
"authors": [
"Jerzy Kijowski",
"Marcin Koscielecki"
],
"categories": [
"physics.class-ph"
],
"title": "On stability of renormalized classical electrodynamics",
"url": "https://arxiv.org/abs/physics/0305123"
},
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