dorsal/arxiv
View SchemaRadiation reaction on charged particles in three-dimensional motion in classical and quantum electrodynamics
| Authors | Atsushi Higuchi, Giles D. R. Martin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510043 |
| URL | https://arxiv.org/abs/quant-ph/0510043 |
| DOI | 10.1103/PhysRevD.73.025019 |
| Journal | Phys.Rev. D73 (2006) 025019 |
Abstract
We extend our previous work (see arXiv:quant-ph/0501026), which compared the predictions of quantum electrodynamics concerning radiation reaction with those of the Abraham-Lorentz-Dirac theory for a charged particle in linear motion. Specifically, we calculate the predictions for the change in position of a charged scalar particle, moving in three-dimensional space, due to the effect of radiation reaction in the one-photon-emission process in quantum electrodynamics. The scalar particle is assumed to be accelerated for a finite period of time by a three-dimensional electromagnetic potential dependent only on one of the spacetime coordinates. We perform this calculation in the $\hbar\to 0$ limit and show that the change in position agrees with that obtained in classical electrodynamics with the Lorentz-Dirac force treated as a perturbation. We also show for a time-dependent but space-independent electromagnetic potential that the forward-scattering amplitude at order $e^2$ does not contribute to the position change in the $\hbar \to 0$ limit after the mass renormalization is taken into account.
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"abstract": "We extend our previous work (see arXiv:quant-ph/0501026), which compared the\npredictions of quantum electrodynamics concerning radiation reaction with those\nof the Abraham-Lorentz-Dirac theory for a charged particle in linear motion.\nSpecifically, we calculate the predictions for the change in position of a\ncharged scalar particle, moving in three-dimensional space, due to the effect\nof radiation reaction in the one-photon-emission process in quantum\nelectrodynamics. The scalar particle is assumed to be accelerated for a finite\nperiod of time by a three-dimensional electromagnetic potential dependent only\non one of the spacetime coordinates. We perform this calculation in the\n$\\hbar\\to 0$ limit and show that the change in position agrees with that\nobtained in classical electrodynamics with the Lorentz-Dirac force treated as a\nperturbation. We also show for a time-dependent but space-independent\nelectromagnetic potential that the forward-scattering amplitude at order $e^2$\ndoes not contribute to the position change in the $\\hbar \\to 0$ limit after the\nmass renormalization is taken into account.",
"arxiv_id": "quant-ph/0510043",
"authors": [
"Atsushi Higuchi",
"Giles D. R. Martin"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1103/PhysRevD.73.025019",
"journal_ref": "Phys.Rev. D73 (2006) 025019",
"title": "Radiation reaction on charged particles in three-dimensional motion in classical and quantum electrodynamics",
"url": "https://arxiv.org/abs/quant-ph/0510043"
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