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Consistency analysis of a nonbirefringent Lorentz-violating planar model

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Abstract

In this work analyze the physical consistency of a nonbirefringent Lorentz-violating planar model via the analysis of the pole structure of its Feynman propagators. The nonbirefringent planar model, obtained from the dimensional reduction of the CPT-even gauge sector of the standard model extension, is composed of a gauge and a scalar fields, being affected by Lorentz-violating (LIV) coefficients encoded in the symmetric tensor κ μν . The propagator of the gauge field is explicitly evaluated and expressed in terms of linear independent symmetric tensors, presenting only one physical mode. The same holds for the scalar propagator. A consistency analysis is performed based on the poles of the propagators. The isotropic parity-even sector is stable, causal and unitary mode for 0≤κ 00<1. On the other hand, the anisotropic sector is stable and unitary but in general noncausal. Finally, it is shown that this planar model interacting with a λ|φ|4-Higgs field supports compactlike vortex configurations.

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Acknowledgements

The authors are grateful to FAPEMA, CAPES and CNPq (Brazilian research agencies) for invaluable financial support.

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Authors and Affiliations

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

    Rodolfo Casana, Manoel M. Ferreira Jr. & Roemir P. M. Moreira

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  1. Rodolfo Casana
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  2. Manoel M. Ferreira Jr.
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  3. Roemir P. M. Moreira
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Correspondence to Manoel M. Ferreira Jr..

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Casana, R., Ferreira, M.M. & Moreira, R.P.M. Consistency analysis of a nonbirefringent Lorentz-violating planar model. Eur. Phys. J. C 72, 2070 (2012). https://doi.org/10.1140/epjc/s10052-012-2070-6

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