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 TMF, 1982, Volume 50, Number 2, Pages 240–250 (Mi tmf2106)

Lagrangians for rotationally symmetric gauge fields in a space of arbitrary dimension

I. P. Volobuev

Abstract: A study is made of gauge fields with arbitrary gauge group that are invariant up to a gauge transformation with respect to a subgroup of the group of spatial rotations. It is shown that the Lagrangian for such fields in a space of arbitrary dimension reduces to a Lagrangiaa of Higgs type in a space of lower dimension; the residual gauge invarianee of the obtained Lagrangian is discussed. The general formulas obtained are valid for rotationally symmetric fields in Minkowski space. In particular, a new derivation of the zero curvature representation for dual spherically symmetric gauge fields is given.

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English version:
Theoretical and Mathematical Physics, 1982, 50:2, 157–164

Bibliographic databases:

Citation: I. P. Volobuev, “Lagrangians for rotationally symmetric gauge fields in a space of arbitrary dimension”, TMF, 50:2 (1982), 240–250; Theoret. and Math. Phys., 50:2 (1982), 157–164

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/tmf/v50/i2/p240

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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. I. P. Volobuev, G. Rudol'f, “Geometrical approach to the dimensional reduction of symmetric gauge fields”, Theoret. and Math. Phys., 62:3 (1985), 261–268
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