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...
Збережено в:
| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2006 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146435 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Цитувати: | Operator Gauge Symmetry in QED / S. Khademi, S. Nasiri // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 24 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146435 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1464352019-02-10T01:23:58Z Operator Gauge Symmetry in QED Khademi, S. Nasiri, S. 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. 2006 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146435 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Khademi, S. Nasiri, S. |
| spellingShingle |
Khademi, S. Nasiri, S. Operator Gauge Symmetry in QED Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Khademi, S. Nasiri, S. |
| author_sort |
Khademi, S. |
| title |
Operator Gauge Symmetry in QED |
| title_short |
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_sort |
operator gauge symmetry in qed |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146435 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT khademis operatorgaugesymmetryinqed AT nasiris operatorgaugesymmetryinqed |
| first_indexed |
2023-05-20T17:24:47Z |
| last_indexed |
2023-05-20T17:24:47Z |
| _version_ |
1796153236638400512 |