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

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.