Concerning the generalized Lorentz symmetry and the generalization of the Dirac equation

Details Concerning the generalized Lorentz symmetry and the generalization of the Dirac equation Concerning the generalized Lorentz symmetry and the generalization of the Dirac equation

2004-02-21

arxiv.org/abs/hep-th/0402172v1

Phys.Lett. A323 (2004) 40-47

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 figure, to appear in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2004.01.040

The work is devoted to the generalization of the Dirac equation for a flat locally anisotropic, i.e., Finslerian space-time. At first we reproduce the corresponding metric and a group of the generalized Lorentz transformations, which has the meaning of the relativistic symmetry group of such event space. Next, proceeding from the requirement of the generalized Lorentz invariance we find a generalized Dirac equation in its explicit form. An exact solution of the nonlinear generalized Dirac equation is also presented.

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