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Quantization of general linear electrodynamics

MPS-Authors
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Rivera,  Sergio
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Schuller,  Frederic P.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1101.0491
(Preprint), 335KB

PRD_83_064036.pdf
(Any fulltext), 227KB

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Citation

Rivera, S., & Schuller, F. P. (2011). Quantization of general linear electrodynamics. Physical Review D., 83: 064036. doi:10.1103/PhysRevD.83.064036.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0010-9085-F
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.