Consistency analysis of a nonbirefringent Lorentz-violating planar model

Details Consistency analysis of a nonbirefringent Lorentz-violating planar model Consistency analysis of a nonbirefringent Lorentz-violating planar model

2011-11-04

arxiv.org/abs/1111.1222v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, revtex style

Scientific paper

In this work analyze the physical consistency of a nonbirefringent Lorentz-violating planar model via the analysis of the pole structure of its Feynman's 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 $\kappa_{\mu\nu}$. 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 $0\leq\kappa_{00}<1$. On the other hand, the anisotropic sector is stable and unitary but in general noncausal.

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