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GAUGE THEORIES WITH LORENTZ-SYMMETRY VIOLATION BY SYMPLECTIC PROJECTOR METHOD

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

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

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M. A. DE ANDRADE

Universidade do Estado do Rio de Janeiro (UERJ), Departamento de Mecânica e Energia, Estrada Resende Riachuelo s/n, Morada da Colina, CEP 27523-000, Resende, RJ, Brasil

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

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M. A. SANTOS

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

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https://doi.org/10.1142/S0217732305017986Cited by:10 (Source: Crossref)

Abstract

The violation of Lorentz symmetry is studied from the point of view of a canonical formulation. We make the usual analysis on the constraints structure of the Carroll–Field–Jackiw model. In this context we derive the equations of motion for the physical variables and check out the dispersion relations obtained from them. Therefore, by the analysis using Symplectic Projector Method (SPM), we can check the results about this type of Lorentz breaking with those in the recent literature: in this sense we can confirm that the configuration of v^μ space-like is stable, and the v^μ time-like carry tachionic modes.

Keywords:

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