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Consistency analysis of a nonbirefringent Lorentz-violating planar model

  • Rodolfo Casana
  • Manoel M. FerreiraJr.Email author
  • Roemir P. M. Moreira
Regular Article - Theoretical Physics

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.

Keywords

Dispersion Relation Higgs Field Lorentz Violation Vortex Solution Standard Model Extension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

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

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2012

Authors and Affiliations

  • Rodolfo Casana
    • 1
  • Manoel M. FerreiraJr.
    • 1
    Email author
  • Roemir P. M. Moreira
    • 1
  1. 1.Departamento de FísicaUniversidade Federal do Maranhão (UFMA)São LuísBrazil

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