Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields
This review is devoted to the Schwinger and Fronsdal theory of Abelian tensor gauge fields. The theory describes the propagation of free massless gauge bosons of integer helicities and their interaction with external currents. Self-consistency of its equations requires only the traceless part of the...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2008 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149020 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields / S. Guttenberg, G. Savvidy // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 33 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862573869173309440 |
|---|---|
| author | Guttenberg, S. Savvidy, G. |
| author_facet | Guttenberg, S. Savvidy, G. |
| citation_txt | Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields / S. Guttenberg, G. Savvidy // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 33 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | This review is devoted to the Schwinger and Fronsdal theory of Abelian tensor gauge fields. The theory describes the propagation of free massless gauge bosons of integer helicities and their interaction with external currents. Self-consistency of its equations requires only the traceless part of the current divergence to vanish. The essence of the theory is given by the fact that this weaker current conservation is enough to guarantee the unitarity of the theory. Physically this means that only waves with transverse polarizations are propagating very far from the sources. The question whether such currents exist should be answered by a fully interacting theory. We also suggest an equivalent representation of the corresponding action.
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| first_indexed | 2025-11-26T08:28:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149020 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T08:28:54Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Guttenberg, S. Savvidy, G. 2019-02-19T13:06:26Z 2019-02-19T13:06:26Z 2008 Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields / S. Guttenberg, G. Savvidy // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 33 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81T10; 81T13; 70S05; 70S10; 70S15; 35L05; 35L10 https://nasplib.isofts.kiev.ua/handle/123456789/149020 This review is devoted to the Schwinger and Fronsdal theory of Abelian tensor gauge fields. The theory describes the propagation of free massless gauge bosons of integer helicities and their interaction with external currents. Self-consistency of its equations requires only the traceless part of the current divergence to vanish. The essence of the theory is given by the fact that this weaker current conservation is enough to guarantee the unitarity of the theory. Physically this means that only waves with transverse polarizations are propagating very far from the sources. The question whether such currents exist should be answered by a fully interacting theory. We also suggest an equivalent representation of the corresponding action. The work of S.G. was supported by ENRAGE (European Network on Random Geometry), a Marie Curie Research Training Network, contract MRTN-CT-2004-005616. The work of G.S. was partially supported by the EEC Grant no. MRTN-CT-2004-005616. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields Article published earlier |
| spellingShingle | Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields Guttenberg, S. Savvidy, G. |
| title | Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields |
| title_full | Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields |
| title_fullStr | Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields |
| title_full_unstemmed | Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields |
| title_short | Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields |
| title_sort | schwinger-fronsdal theory of abelian tensor gauge fields |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149020 |
| work_keys_str_mv | AT guttenbergs schwingerfronsdaltheoryofabeliantensorgaugefields AT savvidyg schwingerfronsdaltheoryofabeliantensorgaugefields |