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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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2008
Автори: Guttenberg, S., Savvidy, G.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2008
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/149020
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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
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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.
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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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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-11-26T08:28:54Z
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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
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AT savvidyg schwingerfronsdaltheoryofabeliantensorgaugefields