Enlarged geometries of gauge bundles

Details Enlarged geometries of gauge bundles Enlarged geometries of gauge bundles

2001-07-20

arxiv.org/abs/math-ph/0107021v1

Int.J.Theor.Phys. 39 (2000) 2779-2796

Physics

Mathematical Physics

11 pages, revtex, no figures

Scientific paper

The geometrical picture of gauge theories must be enlarged when a gauge potential ceases to behave like a connection, as it does in electroweak interactions. When the gauge group has dimension four, the vector space isomorphism between spacetime and the gauge algebra is realized by a tetrad-like field. The object measuring the deviation from a strict bundle structure has the formal behavior of a spacetime connection, of which the deformed gauge field-strength is the torsion. A generalized derivative emerges in terms of which the two Bianchi identities are formally recovered. Effects of gravitational type turn up. The dynamical equations obtained correspond to a broken gauge model on a curved spacetime.

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