Massive gauge bosons from the conservation of topological winding numbers

Details Massive gauge bosons from the conservation of topological winding numbers Massive gauge bosons from the conservation of topological winding numbers

1999-09-28

arxiv.org/abs/hep-ph/9909525v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages

Scientific paper

We consider a U(1) x SU(2) gauge theory on the four-dimensional manifold S^1 x S^3. If we make the assumption that only gauge transformations connected to the identity are allowed, the winding numbers of U(1) around S^1 and of SU(2) around S^3 become topological conserved quantities. We derive the effective theory for non-trivial winding numbers if all distances are small compared to the radii of the spheres. In the non-abelian case the gauge bosons become massive.

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