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 TMF, 1976, Volume 29, Number 2, Pages 268–272 (Mi tmf3458)

Gauge fields on the stability subgroup of the vacuum in a nonlinear realization

A. A. Kapustnikov

Abstract: In models with nonlinear realization of symmetry, one can introduce gauge fields without localization of group transformations. Such fields may arise under definite conditions on stability subgroups of the vacuum. In this paper, we propose a method of construction of the corresponding effective Lagrangian. For the example of $SU(2)\times SU(2)$ symmetry, it is shown that the proposed construction is compatible with the ordinary gauge models that arise as a result of direct breaking of the gauge symmetry from Lagrangians constructed in accordance with the inverse Higgs effect.

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English version:
Theoretical and Mathematical Physics, 1976, 29:2, 1063–1066

Bibliographic databases:

Citation: A. A. Kapustnikov, “Gauge fields on the stability subgroup of the vacuum in a nonlinear realization”, TMF, 29:2 (1976), 268–272; Theoret. and Math. Phys., 29:2 (1976), 1063–1066

Citation in format AMSBIB
\Bibitem{Kap76} \by A.~A.~Kapustnikov \paper Gauge fields on the stability subgroup of the vacuum in a~nonlinear realization \jour TMF \yr 1976 \vol 29 \issue 2 \pages 268--272 \mathnet{http://mi.mathnet.ru/tmf3458} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=449228} \transl \jour Theoret. and Math. Phys. \yr 1976 \vol 29 \issue 2 \pages 1063--1066 \crossref{https://doi.org/10.1007/BF01108511}