Consistency analysis of a nonbirefringent Lorentz-violating planar model

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 ${\kappa }_{\mu \nu }$. 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 $0\le {\kappa }_{00}<1$. 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 $\lambda |\phi {|}^4-$Higgs field supports compactlike vortex configurations.

11 pages, revtex style, final revised version

References in corpus (27)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Global topological k-defects
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
• Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Limits on isotropic Lorentz violation in QED from collider physics
• Gauge k-vortices
• Constraints on CPT violation from WMAP three year polarization data: a wavelet analysis
• Cerenkov Radiation in a Lorentz-Violating and Birefringent Vacuum
• Vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons theory
• New Bounds on Isotropic Lorentz Violation
• Bounding Isotropic Lorentz Violation Using Synchrotron Losses at LEP
• Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED
• Lorentz-CPT violation, radiative corrections and finite temperature
• Compton Scattering in the Presence of Lorentz and CPT Violation
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• Testing CPT Symmetry with CMB Measurements
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• The Casimir Force in a Lorentz Violating Theory
• Compactlike kinks and vortices in generalized models
• BPS Solutions to a Generalized Maxwell-Higgs Model
• Supersonic Velocities in Noncommutative Acoustic Black Holes
• Traveling solitons in Lorentz-violating systems
• Aspects of a planar nonbirefringent and CPT-even electrodynamics stemming from the Standard Model Extension
• Two field BPS solutions for generalized Lorentz breaking models

Cited by in corpus (13)

• Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
• Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• Field sources in a Lorentz symmetry breaking scenario with a single background vector
• New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions
• Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators
• On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension
• Mirrors and field sources in a Lorentz-violating scalar field theory
• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• Consistency of an alternative CPT-odd and Lorentz-violating extension of QED
• Lorentz-symmetry violating physics in a supersymmetric scenario in $(2+1)$-D
• Residual gauge-invariance in a massive Lorentz-violating extension of QED