Strong Field, Noncommutative QED
We review the effects of strong background fields in noncommutative QED. Beginning with the noncommutative Maxwell and Dirac equations, we describe how combined noncommutative and strong field effects modify the propagation of fermions and photons. We extend these studies beyond the case of constant...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146310 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Strong Field, Noncommutative QED / A. Ilderton, J. Lundin, M. Marklund // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 89 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862534669591904256 |
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| author | Ilderton, A. Lundin, J. Marklund, M. |
| author_facet | Ilderton, A. Lundin, J. Marklund, M. |
| citation_txt | Strong Field, Noncommutative QED / A. Ilderton, J. Lundin, M. Marklund // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 89 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We review the effects of strong background fields in noncommutative QED. Beginning with the noncommutative Maxwell and Dirac equations, we describe how combined noncommutative and strong field effects modify the propagation of fermions and photons. We extend these studies beyond the case of constant backgrounds by giving a new and revealing interpretation of the photon dispersion relation. Considering scattering in background fields, we then show that the noncommutative photon is primarily responsible for generating deviations from strong field QED results. Finally, we propose a new method for constructing gauge invariant variables in noncommutative QED, and use it to analyse the physics of our null background fields.
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| first_indexed | 2025-11-24T06:30:14Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146310 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T06:30:14Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ilderton, A. Lundin, J. Marklund, M. 2019-02-08T20:18:40Z 2019-02-08T20:18:40Z 2010 Strong Field, Noncommutative QED / A. Ilderton, J. Lundin, M. Marklund // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 89 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81T75; 81T13 DOI:10.3842/SIGMA.2010.041 https://nasplib.isofts.kiev.ua/handle/123456789/146310 We review the effects of strong background fields in noncommutative QED. Beginning with the noncommutative Maxwell and Dirac equations, we describe how combined noncommutative and strong field effects modify the propagation of fermions and photons. We extend these studies beyond the case of constant backgrounds by giving a new and revealing interpretation of the photon dispersion relation. Considering scattering in background fields, we then show that the noncommutative photon is primarily responsible for generating deviations from strong field QED results. Finally, we propose a new method for constructing gauge invariant variables in noncommutative QED, and use it to analyse the physics of our null background fields. This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.
 A.I. thanks Thomas Heinzl, Martin Lavelle and Christian S¨amann for useful discussions. M.M. and A.I. are supported by the European Research Council under Contract No. 204059-QPQV, and the Swedish Research Council under Contract No. 2007-4422. The Feynman diagrams in this article were created using Jaxodraw [88, 89]. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Strong Field, Noncommutative QED Article published earlier |
| spellingShingle | Strong Field, Noncommutative QED Ilderton, A. Lundin, J. Marklund, M. |
| title | Strong Field, Noncommutative QED |
| title_full | Strong Field, Noncommutative QED |
| title_fullStr | Strong Field, Noncommutative QED |
| title_full_unstemmed | Strong Field, Noncommutative QED |
| title_short | Strong Field, Noncommutative QED |
| title_sort | strong field, noncommutative qed |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146310 |
| work_keys_str_mv | AT ildertona strongfieldnoncommutativeqed AT lundinj strongfieldnoncommutativeqed AT marklundm strongfieldnoncommutativeqed |