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- W1583003818 abstract "In the las! few ycars it has been shown by several authors thal the geomelrical interpretation oC gaugc ficlds in leems oC connection forms in the principal tibre bundle is not unique and there are other possible pictures of geometrical setting [1,2]. Furthermorc, with the correct geometrical picture, prospects oC unification oC gauge and Higgs fields are expected and a single vector-scalar scheme oC them is obtained [3,5]. In the present paper a geometrical model of gauge fields is proposcd on the group manifold. It is made on the basis of the gauge interpretation given to the geometry of lhe group described in the Cartan setting [6]Two remarkable fcatures are oblained which consist in the differcnt structure of gauge lransformations oC this model in comparison with the standard version oi the fibre bundle and in the crucial role which the geometrical properties oC the group manifold play in the gauge invariance of the theory. In order to give a gauge intcrpretation to the gcometry of the grollp manifold wc shall first of all cslablish the geomelry on the grollp manifold Me. For any differentiable arbitrary manifold M we can put the one.form [7,81" @default.
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- W1583003818 date "1989-01-01" @default.
- W1583003818 modified "2023-09-28" @default.
- W1583003818 title "On the geometry for non-abelian gauge fields" @default.
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