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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 272, Pages 212–226 (Mi tm3267)  

This article is cited in 3 scientific papers (total in 3 papers)

Non-Abelian tensor gauge fields

George Savvidy

Demokritos National Research Center, Institute of Nuclear Physics, Athens, Greece
Full-text PDF (234 kB) Citations (3)
References:
Abstract: A recently proposed extension of Yang–Mills theory contains non-Abelian tensor gauge fields. The Lagrangian has quadratic kinetic terms, as well as cubic and quartic terms describing nonlinear interaction of tensor gauge fields with the dimensionless coupling constant. We analyze the particle content of non-Abelian tensor gauge fields. In four-dimensional space-time the rank-2 gauge field describes propagating modes of helicity 2 and 0. We introduce interaction of the non-Abelian tensor gauge field with fermions and demonstrate that the free equation of motion for the spinor-vector field correctly describes the propagation of massless modes of helicity 3/2. We have found a new metric-independent gauge invariant density which is a four-dimensional analog of the Chern–Simons density. The Lagrangian augmented by this Chern–Simons-like invariant describes the massive Yang–Mills boson, providing a gauge invariant mass gap for a four-dimensional gauge field theory.
Received in April 2010
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 272, Pages 201–215
DOI: https://doi.org/10.1134/S0081543811010196
Bibliographic databases:
Document Type: Article
Language: English
Citation: George Savvidy, “Non-Abelian tensor gauge fields”, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Collected papers. Dedicated to Academician Andrei Alekseevich Slavnov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 272, MAIK Nauka/Interperiodica, Moscow, 2011, 212–226; Proc. Steklov Inst. Math., 272 (2011), 201–215
Citation in format AMSBIB
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\by George~Savvidy
\paper Non-Abelian tensor gauge fields
\inbook Problems of modern theoretical and mathematical physics: Gauge theories and superstrings
\bookinfo Collected papers. Dedicated to Academician Andrei Alekseevich Slavnov on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
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\vol 272
\pages 212--226
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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