2004/10/31 by H. Belich, T. Costa-Soares, M. M. Ferreira Jr. +3 · 160 citations
Mathematics · Medicine · Physics and Astronomy · #Bispinor #Black Holes and Theoretical Physics #CPT symmetry #Coupling (piping) #Fermion #Lorentz covariance #Lorentz factor #Lorentz transformation #Mathematics #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum mechanics #Symmetry (geometry) #Symmetry breaking #Tensor (intrinsic definition) #Theoretical physics #hep-th
paper · pdf · doi:10.1140/epjc/s2005-02240-y
published in The European Physical Journal C 41(3), 421-426 (Springer Science+Business Media) · 8 pages, added references, no figures
arxiv created 2005/02/22 · openalex publication_date 2005/05/17 · arxiv updated 2011/09/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The non-minimal coupling of fermions to a background responsible for the breaking of Lorentz symmetry is introduced in Dirac's equation; the non-relativistic regime is contemplated, and the Pauli's equation is used to show how an Aharonov-Casher phase may appear as a natural consequence of the Lorentz violation, once the particle is placed in a region where there is an electric field. Different ways of implementing the Lorentz breaking are presented and, in each case, we show how to relate the Aharonov-Casher phase to the particular components of the background vector or tensor that realises the violation of Lorentz symmetry.