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TMF, 1986, Volume 66, Number 1, Pages 79–89 (Mi tmf4595)  

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

Scalar fields and dynamical torsion in Kaluza–Klein theories

I. V. Volovich, M. O. Katanaev


Abstract: It is shown that the generalization of Kaluza–Klein theories to take into account dynamical torsion makes it possible to obtain after reduction to four-dimensional space-time not only gauge fields interacting with the metric but also scalar fields with Lagrangian of Yang–Mills–Higgs type. It is shown that in four-dimensional space-time with Minkowski metric torsion is manifested as a universal pseudoveetor field irrespective of the Kaluza–Klein theories. Chiral interaction of fermions can be interpreted as interaction with a torsion field. The connection between torsion and anomalies is discussed. Torsion in three-dimensional space-time is also considered.

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English version:
Theoretical and Mathematical Physics, 1986, 66:1, 53–60

Bibliographic databases:

Document Type: Article
Received: 24.12.1984

Citation: I. V. Volovich, M. O. Katanaev, “Scalar fields and dynamical torsion in Kaluza–Klein theories”, TMF, 66:1 (1986), 79–89; Theoret. and Math. Phys., 66:1 (1986), 53–60

Citation in format AMSBIB
\Bibitem{VolKat86}
\by I.~V.~Volovich, M.~O.~Katanaev
\paper Scalar fields and dynamical torsion in Kaluza--Klein theories
\jour TMF
\yr 1986
\vol 66
\issue 1
\pages 79--89
\mathnet{http://mi.mathnet.ru/tmf4595}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=831418}
\zmath{https://zbmath.org/?q=an:0592.53056|0624.53048}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 66
\issue 1
\pages 53--60
\crossref{https://doi.org/10.1007/BF01028938}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986D593000006}


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  • http://mi.mathnet.ru/eng/tmf/v66/i1/p79

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. D. Popov, “Hidden symmetries of Kaluza–Klein theories”, Theoret. and Math. Phys., 71:1 (1987), 385–392  mathnet  crossref  mathscinet  isi
    2. M. O. Katanaev, “Kinetic part of dynamical torsion theory”, Theoret. and Math. Phys., 72:1 (1987), 735–741  mathnet  crossref  zmath  isi
    3. I. L. Buchbinder, V. P. Dergalev, S. D. Odyntsov, “Vilkovisky–DeWitt effective action in multidimensional quantum gravity and antiperiodic boundary conditions”, Theoret. and Math. Phys., 80:1 (1989), 776–782  mathnet  crossref  mathscinet  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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