2005/11/11 by G. Yu. Bogoslovsky · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1016/j.physleta.2005.11.007
published as Phys.Lett.A350:5-10,2006 · 10 pages, to appear in Phys. Lett. A
openalex publication_date 2005/11/11 · arxiv created 2005/11/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.