Geodesic
Lagrangians for rotationally symmetric gauge fields in a~space of arbitrary dimension
Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 2, pp. 240-250

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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. 
@article{TMF_1982_50_2_a5,
     author = {I. P. Volobuev},
     title = {Lagrangians for rotationally symmetric gauge fields in a~space of arbitrary dimension},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {240--250},
     publisher = {mathdoc},
     volume = {50},
     number = {2},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a5/}
}
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I. P. Volobuev. Lagrangians for rotationally symmetric gauge fields in a~space of arbitrary dimension. Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 2, pp. 240-250. http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a5/