Operator Gauge Symmetry in QED
In this paper, operator gauge transformation, first introduced by Kobe, is applied to Maxwell's equations and continuity equation in QED. The gauge invariance is satisfied after quantization of electromagnetic fields. Inherent nonlinearity in Maxwell's equations is obtained as a direct res...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2006 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146435 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Operator Gauge Symmetry in QED / S. Khademi, S. Nasiri // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 24 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862632678234259456 |
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| author | Khademi, S. Nasiri, S. |
| author_facet | Khademi, S. Nasiri, S. |
| citation_txt | Operator Gauge Symmetry in QED / S. Khademi, S. Nasiri // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 24 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this paper, operator gauge transformation, first introduced by Kobe, is applied to Maxwell's equations and continuity equation in QED. The gauge invariance is satisfied after quantization of electromagnetic fields. Inherent nonlinearity in Maxwell's equations is obtained as a direct result due to the nonlinearity of the operator gauge transformations. The operator gauge invariant Maxwell's equations and corresponding charge conservation are obtained by defining the generalized derivatives of the first and second kinds. Conservation laws for the real and virtual charges are obtained too. The additional terms in the field strength tensor are interpreted as electric and magnetic polarization of the vacuum.
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| first_indexed | 2025-11-30T13:41:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146435 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T13:41:24Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Khademi, S. Nasiri, S. 2019-02-09T17:01:19Z 2019-02-09T17:01:19Z 2006 Operator Gauge Symmetry in QED / S. Khademi, S. Nasiri // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 24 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81V80; 78A25 https://nasplib.isofts.kiev.ua/handle/123456789/146435 In this paper, operator gauge transformation, first introduced by Kobe, is applied to Maxwell's equations and continuity equation in QED. The gauge invariance is satisfied after quantization of electromagnetic fields. Inherent nonlinearity in Maxwell's equations is obtained as a direct result due to the nonlinearity of the operator gauge transformations. The operator gauge invariant Maxwell's equations and corresponding charge conservation are obtained by defining the generalized derivatives of the first and second kinds. Conservation laws for the real and virtual charges are obtained too. The additional terms in the field strength tensor are interpreted as electric and magnetic polarization of the vacuum. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Operator Gauge Symmetry in QED Article published earlier |
| spellingShingle | Operator Gauge Symmetry in QED Khademi, S. Nasiri, S. |
| title | Operator Gauge Symmetry in QED |
| title_full | Operator Gauge Symmetry in QED |
| title_fullStr | Operator Gauge Symmetry in QED |
| title_full_unstemmed | Operator Gauge Symmetry in QED |
| title_short | Operator Gauge Symmetry in QED |
| title_sort | operator gauge symmetry in qed |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146435 |
| work_keys_str_mv | AT khademis operatorgaugesymmetryinqed AT nasiris operatorgaugesymmetryinqed |