dorsal/arxiv
View SchemaClassical Radiation Reaction Off-Shell Corrections to the Covariant Lorentz Force
| Authors | O. Oron, L. P. Horwitz |
|---|---|
| Categories | |
| ArXiv ID | physics/0007022 |
| URL | https://arxiv.org/abs/physics/0007022 |
| DOI | 10.1016/S0375-9601(01)00080-9 |
| Journal | Phys.Lett.A280:265-270,2001 |
Abstract
It has been shown by Gupta and Padmanabhan that the radiation reaction force of the Abraham-Lorentz-Dirac equation can be obtained by a coordinate transformation from the inertial frame of an accelerating charged particle to that of the laboratory. We show that the problem may be formulated in a flat space of five dimensions, with five corresponding gauge fields in the framework of the classical version of a fully gauge covariant form of the Stueckelberg- Feynman-Schwinger covariant mechanics (the zero mode fields of the 0,1,2,3 components correspond to the Maxwell fields). Without additional constraints, the particles and fields are not confined to their mass shells. We show that in the mass-shell limit, the generalized Lorentz force obtained by means of the retarded Green's functions for the five-dimensional field equations provides the classical Abraham-Lorentz-Dirac radiation reaction terms (with renormalized mass and charge). We also obtain general coupled equations for the orbit and the off-shell dynamical mass during the evolution. The theory does not admit radiation if the particle remains identically on-shell. The structure of the equations implies that the mass-shell deviaiton is bounded when the external field is removed.
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"abstract": "It has been shown by Gupta and Padmanabhan that the radiation reaction force\nof the Abraham-Lorentz-Dirac equation can be obtained by a coordinate\ntransformation from the inertial frame of an accelerating charged particle to\nthat of the laboratory. We show that the problem may be formulated in a flat\nspace of five dimensions, with five corresponding gauge fields in the framework\nof the classical version of a fully gauge covariant form of the Stueckelberg-\nFeynman-Schwinger covariant mechanics (the zero mode fields of the 0,1,2,3\ncomponents correspond to the Maxwell fields). Without additional constraints,\nthe particles and fields are not confined to their mass shells. We show that in\nthe mass-shell limit, the generalized Lorentz force obtained by means of the\nretarded Green\u0027s functions for the five-dimensional field equations provides\nthe classical Abraham-Lorentz-Dirac radiation reaction terms (with renormalized\nmass and charge). We also obtain general coupled equations for the orbit and\nthe off-shell dynamical mass during the evolution. The theory does not admit\nradiation if the particle remains identically on-shell. The structure of the\nequations implies that the mass-shell deviaiton is bounded when the external\nfield is removed.",
"arxiv_id": "physics/0007022",
"authors": [
"O. Oron",
"L. P. Horwitz"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"doi": "10.1016/S0375-9601(01)00080-9",
"journal_ref": "Phys.Lett.A280:265-270,2001",
"title": "Classical Radiation Reaction Off-Shell Corrections to the Covariant Lorentz Force",
"url": "https://arxiv.org/abs/physics/0007022"
},
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