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TMF, 1986, Volume 68, Number 3, Pages 381–391 (Mi tmf5191)  

This article is cited in 1 scientific paper (total in 1 paper)

Quaternion gauge fields. Pseudocolor

A. B. Govorkov


Abstract: A simplified Gyunaydin–Gyursey model, in which a Majorana field constructed using quaternions combines a lepton and a color quark, is considered. Formulation of the gauge principle directly in the quaternions leads to the appearance of two vector quaternion gauge fields, these corresponding to the decomposition $SO(4)\simeq SO(3)\times SO(3)$ of the invariance group. The diagonal subgroup $SO(3)$ of automorphisms of the quaternions appears as a pseudocolor symmetry of the quarks, and the gauge fieldcorresponding to it as the field of three color gluons. The other gauge field corresponds to lepton-quark transitions and in the presence of spontaneous breaking of the $SO(4)$ gauge symmetry by the scalar quaternion field acquires a (large) finite mass.

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English version:
Theoretical and Mathematical Physics, 1986, 68:3, 893–900

Bibliographic databases:

Received: 24.06.1985

Citation: A. B. Govorkov, “Quaternion gauge fields. Pseudocolor”, TMF, 68:3 (1986), 381–391; Theoret. and Math. Phys., 68:3 (1986), 893–900

Citation in format AMSBIB
\Bibitem{Gov86}
\by A.~B.~Govorkov
\paper Quaternion gauge fields. Pseudocolor
\jour TMF
\yr 1986
\vol 68
\issue 3
\pages 381--391
\mathnet{http://mi.mathnet.ru/tmf5191}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=871062}
\zmath{https://zbmath.org/?q=an:0614.22010}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 68
\issue 3
\pages 893--900
\crossref{https://doi.org/10.1007/BF01019390}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986G881200006}


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  • http://mi.mathnet.ru/eng/tmf/v68/i3/p381

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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. B. Govorkov, “Fock representation for quaternion fields”, Theoret. and Math. Phys., 69:1 (1986), 1007–1013  mathnet  crossref  mathscinet  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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