On skewon modification of light cone structure

Abstract

Electromagnetic media with generic linear response provide a rich class of Lorentz violation models. In the framework of a general covariant metric-free approach, we study electromagnetic wave propagation in these media. We define the notion of an optic tensor and present its unique canonical irreducible decomposition into the principle and skewon parts. The skewon contribution to the Minkowski vacuum is a subject that does not arise in the ordinary models of Lorentz violation based on a modified Lagrangian. We derive the covector parametrization of the skewon optic tensor and discuss its $U(1)$-gauge symmetry. We obtain several compact expressions for the contribution of the principle and skewon optic tensor to the dispersion relation. As an application of the technique proposed here, we consider the case of a generic skewon tensor contributed to a simple metric-type principle part. Our main result: Every solution of the skewon modified Minkowski dispersion relation is necessary spacelike or null. It provides an extreme violation of the Lorentz symmetry. The case of the antisymmetric skewon is studied in detail and some new special cases (electric, magnetic, and degenerate) are discovered. In the case of a skewon represented by a symmetric matrix, we observe a parametric gap that has some similarity to the Higgs model. We worked out a set of specific examples that justify the generic properties of the skewon models and demonstrate the different types of the Lorentz violation phenomena.

References in corpus (39)

• Data Tables for Lorentz and CPT Violation
• Gravity, Lorentz Violation, and the Standard Model
• Modern tests of Lorentz invariance
• Nonstandard optics from quantum spacetime
• Signals for Lorentz Violation in Electrodynamics
• Very Special Relativity
• Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic String
• General Very Special Relativity is Finsler Geometry
• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• Lorentz-violating electrodynamics and the cosmic microwave background
• Causal structure and electrodynamics on Finsler spacetimes
• Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
• Fresnel analysis of the wave propagation in nonlinear electrodynamics
• Riemannian light cone from vanishing birefringence in premetric vacuum electrodynamics
• Fermat Principle in Finsler Spacetimes
• On Loop Quantum Gravity Phenomenology and the Issue of Lorentz Invariance
• Linear media in classical electrodynamics and the Post constraint
• Observable effects in a class of spherically symmetric static Finsler spacetimes
• Light cones in Finsler spacetime
• Linear pre-metric electrodynamics and deduction of the light cone
• Wave propagation in linear electrodynamics
• On light propagation in premetric electrodynamics. Covariant dispersion relation
• Confronting Finsler space-time with experiment
• On possible skewon effects on light propagation
• The non-birefringent limit of all linear, skewonless media and its unique light-cone structure
• Pseudo-Finslerian spacetimes and multi-refringence
• Caroll-Field-Jackiw electrodynamics in the pre-metric framework
• Wave propagation in axion electrodynamics
• Finsler-type modification of the Coulomb law
• On the hyperbolicity of Maxwell's equations with a local constitutive law
• No-birefringence conditions for spacetime
• Skewon field and cosmic wave propagation
• The Kummer tensor density in electrodynamics and in gravity
• Photon propagator for axion electrodynamics
• Skewon no-go theorem
• A generalized photon propagator
• Non-dissipative electromagnetic medium with a double light cone
• Covariant jump conditions in electromagnetism
• Electromagnetic media with Higgs-type spontaneously broken transparency

Cited by in corpus (9)

• Premetric teleparallel theory of gravity and its local and linear constitutive law
• Spacetime structure and asymmetric metric from the premetric formulation of electromagnetism
• Dilaton field and cosmic wave propagation
• Electrodynamics of a Cosmic Dark Fluid
• Non-minimal Einstein-Maxwell theory: the Fresnel equation and the Petrov classification of a trace-free susceptibility tensor
• Electromagnetic media with Higgs-type spontaneously broken transparency
• Light propagation in (2+1)-dimensional electrodynamics: the case of linear constitutive laws
• Photon propagator in skewon electrodynamics
• Remarks on the algebraic structure of (2, 2) double forms