Spinor algebra transformations as gauge symmetry: limit to Einstein gravity

Details Spinor algebra transformations as gauge symmetry: limit to Einstein gravity Spinor algebra transformations as gauge symmetry: limit to Einstein gravity

2001-04-23

arxiv.org/abs/hep-ph/0104222v4

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, LaTeX file, 1 eps-figure, reference added, subsection 3.5.2 and section 5. little modified

Scientific paper

We construct a Lagrangian of Weyl spinors and gauge fields, which is invariant under the action of equivalent local transformations on the spinor algebra representations. A model of vacuum with a nontrivial gauge strength-tensor setting a scale and spontaneously breaking the gauge symmetry is suggested, so that the leading approximation at low energies is described by the Einstein--Hilbert Lagrangian of gravity. We consider a mechanism for the cancellation of cosmological constant due to a symmetry between the vacuum strength tensor and the tensor dual to it. The appearance of nonzero masses for the non-graviton degrees of freedom for the gauge field is shown. The generalization to the Dirac spinors is considered, and a group of additional gauge symmetry is determined. We argue for a necessary introduction of supersymmetry.

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