2011/11/30 by Rodolfo Casana, R. Casana, Manoel M. Ferreira +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Exact solutions in general relativity #Feynman diagram #Geometry #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Propagator #Quantum mechanics #Scalar (mathematics) #Tensor field #Theoretical physics #hep-th
paper · pdf · doi:10.1140/epjc/s10052-012-2070-6
published as Eur. Phys. J. C 72, 2070 (2012) · 11 pages, revtex style, final revised version
openalex publication_date 2012/07/01 · arxiv created 2012/08/10 · arxiv updated 2012/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 κμν. 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≤κ00<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.