Radiation Reaction, Renormalization and Poincaré Symmetry
We consider the self-action problem in classical electrodynamics of a massive point-like charge, as well as of a massless one. A consistent regularization procedure is proposed, which exploits the symmetry properties of the theory. The radiation reaction forces in both 4D and 6D are derived. It is d...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2005 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2005
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/209347 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Radiation Reaction, Renormalization and Poincaré Symmetry / Y. Yarmenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862575879596539904 |
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| author | Yaremko, Y. |
| author_facet | Yaremko, Y. |
| citation_txt | Radiation Reaction, Renormalization and Poincaré Symmetry / Y. Yarmenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We consider the self-action problem in classical electrodynamics of a massive point-like charge, as well as of a massless one. A consistent regularization procedure is proposed, which exploits the symmetry properties of the theory. The radiation reaction forces in both 4D and 6D are derived. It is demonstrated that the Poincaré-invariant six-dimensional electrodynamics of the massive charge is a renormalizable theory. Unlike the massive case, the rates of radiated energy-momentum tend to infinity whenever the source is accelerated. The external electromagnetic fields, which do not change the velocity of the particle, admit only its presence within the interaction area. The effective equation of motion is the equation for eigenvalues and eigenvectors of the electromagnetic tensor. The interference part of the energy-momentum radiated by two massive point charges arbitrarily moving in flat spacetime is evaluated. It is shown that the sum of work done by Lorentz forces of charges acting on one another exhausts the effect of the combination of outgoing electromagnetic waves generated by the charges.
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| first_indexed | 2025-11-26T13:47:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209347 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T13:47:12Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Yaremko, Y. 2025-11-19T12:26:27Z 2005 Radiation Reaction, Renormalization and Poincaré Symmetry / Y. Yarmenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 70S10; 78A40 https://nasplib.isofts.kiev.ua/handle/123456789/209347 https://doi.org/10.3842/SIGMA.2005.012 We consider the self-action problem in classical electrodynamics of a massive point-like charge, as well as of a massless one. A consistent regularization procedure is proposed, which exploits the symmetry properties of the theory. The radiation reaction forces in both 4D and 6D are derived. It is demonstrated that the Poincaré-invariant six-dimensional electrodynamics of the massive charge is a renormalizable theory. Unlike the massive case, the rates of radiated energy-momentum tend to infinity whenever the source is accelerated. The external electromagnetic fields, which do not change the velocity of the particle, admit only its presence within the interaction area. The effective equation of motion is the equation for eigenvalues and eigenvectors of the electromagnetic tensor. The interference part of the energy-momentum radiated by two massive point charges arbitrarily moving in flat spacetime is evaluated. It is shown that the sum of work done by Lorentz forces of charges acting on one another exhausts the effect of the combination of outgoing electromagnetic waves generated by the charges. The author would like to thank Professors B.P. Kosyakov, V. Tretyak, Dr. A. Duviryak, and Professor Yu.A. Rylov for helpful discussions and critical comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Radiation Reaction, Renormalization and Poincaré Symmetry Article published earlier |
| spellingShingle | Radiation Reaction, Renormalization and Poincaré Symmetry Yaremko, Y. |
| title | Radiation Reaction, Renormalization and Poincaré Symmetry |
| title_full | Radiation Reaction, Renormalization and Poincaré Symmetry |
| title_fullStr | Radiation Reaction, Renormalization and Poincaré Symmetry |
| title_full_unstemmed | Radiation Reaction, Renormalization and Poincaré Symmetry |
| title_short | Radiation Reaction, Renormalization and Poincaré Symmetry |
| title_sort | radiation reaction, renormalization and poincaré symmetry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209347 |
| work_keys_str_mv | AT yaremkoy radiationreactionrenormalizationandpoincaresymmetry |