Non-minimal coupling to a Lorentz-violating background and topological implications

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 equation is used to show how an Aharonov-Casher phase may appear as a natural consequence of the Lorentz...

Full description

Saved in:
Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2005-06, Vol.41 (3), p.421-426
Main Authors: Belich, H., Costa-Soares, T., Ferreir, M. M., Helayël-Neto, J. A.
Format: Article
Language:English
Subjects:
Coupling
Electric fields
Fermions
Symmetry
Tensors
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 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 realizes the violation of Lorentz symmetry.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s2005-02240-y