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Lorentz-symmetry Violation and Electrically Charged Vortices in the Planar Regime

2004/07/29 by H. Belich, T. Costa-Soares, Belich, H. +9
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0407260

11 pages, added refs., Changed contents in the last section, revtex4, to appear in Int. J. Mod. Phys. A

openalex publication_date 2004/07/29 · arxiv created 2005/11/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We start from a Lorentz non-invariant Abelian-Higgs model in 1+3 dimensions, and carry out its dimensional reduction to D=1+2. The planar model resulting thereof is composed by a Maxwell-Chern-Simons-Proca gauge sector, a massive scalar sector, and a mixing term (involving the fixed background, vμ) that realizes Lorentz violation for the reduced model. Vortex-type solutions of the planar model are investigated,revealing charged vortex configurations that recover the usual Nielsen-Olesen configuration in the asymptotic regime. The Aharonov-Casher Effect in layered superconductors, that shows interference of neutral particles with a magnetic moment moving around a line charge, is also studied. Our charged vortex solutions exhibit a screened electric field that induces the same phase shift as the one caused by the charged wire.

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