Eur. Phys. J. C (2012) 72: 2070
https://doi.org/10.1140/epjc/s10052-012-2070-6

Regular Article - Theoretical Physics

Consistency analysis of a nonbirefringent Lorentz-violating planar model

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

^* e-mail: manojr07@ibest.com.br
^** e-mail: manojr@ufma.br

Received: 27 March 2012
Published online: 24 July 2012

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.