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LORENTZ-SYMMETRY VIOLATION AND ELECTRICALLY CHARGED VORTICES IN THE PLANAR REGIME

Universidade Federal do Espírito Santo (UFES), Departamento de Física e Química, Av. Fernando Ferrari, S/N Goiabeiras, Vitória – ES, 29060-900, Brazil

Grupo de Física Teórica José Leite Lopes, C.P. 91933, CEP 25685-970, Petrópolis, RJ, Brazil

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T. COSTA-SOARES

CBPF – Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud, 150, CEP 22290-180, Rio de Janeiro, RJ, Brazil

Universidade Federal de Juiz de Fora (UFJF), Colégio Técnico Universitário, av. Bernardo Mascarenhas, 1283, Bairro Fábrica – Juiz de Fora – MG, 36080-001, Brazil

Grupo de Física Teórica José Leite Lopes, C.P. 91933, CEP 25685-970, Petrópolis, RJ, Brazil

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M. M. FERREIRA, Jr.

Universidade Federal do Maranhão (UFMA), Departamento de Física, Campus Universitário do Bacanga, São Luiz – MA, 65085-580, Brazil

Grupo de Física Teórica José Leite Lopes, C.P. 91933, CEP 25685-970, Petrópolis, RJ, Brazil

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J. A. HELAYËL-NETO

CBPF – Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud, 150, CEP 22290-180, Rio de Janeiro, RJ, Brazil

Grupo de Física Teórica José Leite Lopes, C.P. 91933, CEP 25685-970, Petrópolis, RJ, Brazil

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, and

M. T. D. ORLANDO

Universidade Federal do Espírito Santo (UFES), Departamento de Física e Química, Av. Fernando Ferrari, S/N Goiabeiras, Vitória – ES, 29060-900, Brazil

Grupo de Física Teórica José Leite Lopes, C.P. 91933, CEP 25685-970, Petrópolis, RJ, Brazil

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https://doi.org/10.1142/S0217751X06030904Cited by:22 (Source: Crossref)

Abstract

We start from a Lorentz noninvariant 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, v^μ) 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.

Keywords:

PACS: 11.10.Kk, 11.30.Cp, 11.30.Er

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