Lorentz symmetry violation without violation of relativistic symmetry

Details Lorentz symmetry violation without violation of relativistic symmetry Lorentz symmetry violation without violation of relativistic symmetry

2005-11-15

arxiv.org/abs/hep-th/0511151v1

Phys.Lett.A350:5-10,2006

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, to appear in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2005.11.007

Within the framework of the Finslerian approach to the problem of violation of Lorentz symmetry, consideration is given to a flat axially symmetric Finslerian space of events, which is the generalization of Minkowski space. Such an event space arises from the spontaneous breaking of initial gauge symmetry and from the formation of anisotropic fermion-antifermion condensate. It is shown that the appearance of an anisotropic condensate breaks Lorentz symmetry; relativistic symmetry, realized by means of the 3-parameter group of generalized Lorentz boosts, remains valid here nevertheless. We have obtained the bispinor representation of the group of generalized Lorentz boosts, which makes it possible to construct the Lagrangian for an interaction of fundamental fields with anisotropic condensate.

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