2005/11/30 by Aleksandr Azatov, A. T. Azatov, J.L. Chkareuli +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.73.065026
published as Phys.Rev.D73:065026,2006 · 16 pages, 2 Postscript figures to be published in Phys. Rev. D
arxiv created 2006/03/08 · openalex publication_date 2006/03/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The spontaneous breakdown of 4-dimensional Lorentz invariance in the framework of QED with the nonlinear vector potential constraint A_\ensuremathμ2=M2 (where M is a proposed scale of the Lorentz violation) is shown to manifest itself only as some noncovariant gauge choice in the otherwise gauge invariant (and Lorentz invariant) electromagnetic theory. All the contributions to the photon-photon, photon-fermion, and fermion-fermion interactions violating the physical Lorentz invariance happen to be exactly cancelled with each other in the manner observed by Nambu long ago for the simplest tree-order diagrams---the fact which we extend now to the one-loop approximation and for both the timelike (M2>0) and spacelike (M2<0) Lorentz violations. The way to reach the physical breaking of the Lorentz invariance in the pure QED case (and beyond) treated in the flat Minkowskian space-time is also discussed in some detail.