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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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2010
Hauptverfasser: Ilderton, A., Lundin, J., Marklund, M.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2010
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/146310
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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
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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.
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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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language English
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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
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AT lundinj strongfieldnoncommutativeqed
AT marklundm strongfieldnoncommutativeqed