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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

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

This article is cited in 1 paper

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.

Received: 21.07.1980


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

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