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 Tr. Mat. Inst. 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

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.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2011, 272, 201–215

Bibliographic databases:

Document Type: Article
Received in April 2010
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, Tr. Mat. Inst. Steklova, 272, MAIK Nauka/Interperiodica, Moscow, 2011, 212–226; Proc. Steklov Inst. Math., 272 (2011), 201–215

Citation in format AMSBIB
\Bibitem{Sav11} \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 Tr. Mat. Inst. Steklova \yr 2011 \vol 272 \pages 212--226 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3267} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2838851} \zmath{https://zbmath.org/?q=an:1225.81094} \transl \jour Proc. Steklov Inst. Math. \yr 2011 \vol 272 \pages 201--215 \crossref{https://doi.org/10.1134/S0081543811010196} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000290170500019} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79955723193} 

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This publication is cited in the following articles:
1. Floratos E., Georgiou G., Linardopoulos G., “Large-Spin Expansions of GKP Strings”, J. High Energy Phys., 2014, no. 3, 018
2. Savvidy G., “Generalization of the Yang-Mills Theory”, Int. J. Mod. Phys. A, 31:1 (2016), 1630003
3. Savvidy G., “Interaction of Non-Abelian Tensor Gauge Fields”, Phys. Lett. B, 776 (2018), 440–446
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