Quantization of general linear electrodynamics
arXiv:1101.0491 · doi:10.1103/PhysRevD.83.064036
Abstract
General linear electrodynamics allow for an arbitrary linear constitutive relation between the field strength two-form and induction two-form density if crucial hyperbolicity and energy conditions are satisfied, which render the theory predictive and physically interpretable. Taking into account the higher-order polynomial dispersion relation and associated causal structure of general linear electrodynamics, we carefully develop its Hamiltonian formulation from first principles. Canonical quantization of the resulting constrained system then results in a quantum vacuum which is sensitive to the constitutive tensor of the classical theory. As an application we calculate the Casimir effect in a bi-refringent linear optical medium.
23 pages, 1 figure
References in corpus (29)
- Lorentz invariance with an invariant energy scale
- Nonstandard optics from quantum spacetime
- Ultraviolet modifications of dispersion relations in effective field theory
- Quantum gravity corrections to neutrino propagation
- Classical and Quantum Mechanics of Free \k Relativistic Systems
- Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
- General Very Special Relativity is Finsler Geometry
- Observer-independent quanta of mass and length
- New Observational Bounds to Quantum Gravity Signals
- Modified dispersion relations and black hole physics
- On Loop Quantum Gravity Phenomenology and the Issue of Lorentz Invariance
- Geometry of physical dispersion relations
- Lorentz invariance violation and charge (non--)conservation: A general theoretical frame for extensions of the Maxwell equations
- Modified Dispersion Relations and Black Hole Entropy
- Lorentz Invariance Violation and Symmetry in Randers--Finsler Spaces
- String Quantum Gravity, Lorentz-Invariance Violation and Gamma-Ray Astronomy
- Confronting Finsler space-time with experiment
- Causal structure and algebraic classification of area metric spacetimes in four dimensions
- The Higgs mechanism in Finsler spacetimes
- Area metric gravity and accelerating cosmology
- The non-birefringent limit of all linear, skewonless media and its unique light-cone structure
- Propagation of light in area metric backgrounds
- Canonical differential geometry of string backgrounds
- Geometry of manifolds with area metric: multi-metric backgrounds
- Modified Dispersion Relations from the Renormalization Group of Gravity
- On Modified Dispersion Relations and the Chandrasekhar Mass Limit
- Light propagation in generally covariant electrodynamics and the Fresnel equation
- High energy astrophysical neutrino flux and modified dispersion relations
- A note on particle kinematics in Horava-Lifshitz scenarios
Cited by in corpus (10)
- Teleparallel theories of gravity as analogue of non-linear electrodynamics
- Observers' measurements in premetric electrodynamics I: Time and radar length
- Electromagnetic Potential in Pre-Metric Electrodynamics: Causal Structure, Propagators and Quantization
- Quantum Energy Inequalities in Pre-Metric Electrodynamics
- Gravitational closure of matter field equations
- Non-dissipative electromagnetic medium with a double light cone
- Non-linear electrodynamics non-minimally coupled to gravity:symmetric-hyperbolicity and causal structure
- Geometry of Area Without Length
- Metric-Induced Principal Symbols in Nonlinear Electrodynamics
- Etherington duality breaking: gravitational lensing in non-metric spacetimes versus intrinsic alignments