Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-10-24
Phys.Rev.D33:983-990,1986
Physics
High Energy Physics
High Energy Physics - Theory
17 page Latex file with some minor misprint corrections and added color for article originally published in black and white
Scientific paper
10.1103/PhysRevD.33.983
The standard covariant differentiation procedure for fields in vector bundles is generalised so as to be applicable to fields in general nonaffine bundles in which the fibres may have an arbitrary nonlinear structure. In addition to the usual requirement that the base space should be flat or endowed with its own linear connection, and that there should be an ordinary gauge connection on the bundle, it is necessary to require also that there should be an intrinsic, bundle-group invariant connection on the fibre space. The procedure is based on the use of an appropriate primary-field (i.e. section) independent connector that is constructed in terms of the natural fibre-tangent-vector realisation of the gauge connection. The application to gauged harmonic mappings will be described in a following article.
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