A geometry for the electroweak field

Details A geometry for the electroweak field A geometry for the electroweak field

2003-02-07

arxiv.org/abs/hep-th/0302048v1

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, RevTeX

Scientific paper

The structure of the electroweak theory is suggested by classical geometrical ideas. A nonlinear map is constructed, from a 12-dimensional linear space of three Weyl spinors onto the 12-dimensional tangent bundle of the Stiefel manifold of orthonormal tetrads associated with the Lorentz group -- except, inevitably, for a set of measure zero. In the approach of this paper, the electroweak field is more natural than the Dirac field. This may be just a curiosity since it may not survive quantization, but it suggests a path to bosonization of the electroweak field in (3+1) dimensions.

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