2003/01/28 by H. Belich, Manoel M. Ferreira, M. M. Ferreira Jr. +2 · 53 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical electromagnetism #Classical mechanics #Cosmology and Gravitation Theories #Electromagnetic field #Field (mathematics) #Inhomogeneous electromagnetic wave equation #Lorentz transformation #Massless particle #Mathematical physics #Mathematics #Maxwell's equations #Noncommutative and Quantum Gravity Theories #Optical field #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Stochastic electrodynamics #hep-th
paper · pdf · doi:10.1103/physrevd.68.025005
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 68(2) (American Physical Society) · latex, 8 pages
arxiv created 2003/01/28 · openalex publication_date 2003/07/03 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We take as a starting point the planar model arising from the dimensional reduction of Maxwell electrodynamics with the (Lorentz-violating) Carroll-Field-Jackiw term. We then write and study the extended Maxwell equations and the corresponding wave equations for the potentials. The solution to these equations shows some interesting deviations from the usual MCS electrodynamics, with background-dependent correction terms. In the case of a timelike background, the correction terms dominate over the MCS sector in the region far from the origin, and establish the behavior of a massless electrodynamics (in the electric sector). In the spacelike case, the solutions indicate the clear manifestation of spatial anisotropy, which is consistent with the existence of a privileged direction in space.