Electromagnetic potential in pre-metric electrodynamics: Causal structure, propagators and quantization

Pfeifer, Christian; Siemssen, Daniel

doi:10.1103/physrevd.93.105046

Cited by 20 publications

(39 citation statements)

References 32 publications

(128 reference statements)

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“…In order to derive the principal symbol we must restrict the field equations to the subspace of fields, on which they are non-degenerate. This feature is common in field theories with gauge degrees of freedom and appears also in general premetric theories of electrodynamics [43].…”

Section: Principal Polynomial and Speed Of Propagationmentioning

confidence: 78%

Propagation of gravitational waves in teleparallel gravity theories

et al. 2018

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We investigate propagation of gravitational waves in the most general teleparallel gravity model with second order field equations around the Minkowski background. We argue that in this case the most general Lagrangian at the first order of perturbations is given by the linear combination of quadratic invariants and hence coincide with the well-known new general relativity model. We derive the linearized field equations and analyze them using the principal polynomial and the Newman-Penrose formalism. We demonstrate that all gravitational waves modes propagate at the speed of light and there are up to six possible polarizations. We show that two tensorial modes of general relativity are always present and the number of extra polarizations depends on the free parameters of the new general relativity model.

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Section: Principal Polynomial and Speed Of Propagationmentioning

confidence: 78%

Propagation of gravitational waves in teleparallel gravity theories

et al. 2018

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“…with |g| = | det g ab |. Electrodynamics in media, like in an uniaxial birefringent crystal for example [38,39], is described by the constitutive density…”

Section: Premetric Electrodynamicsmentioning

confidence: 99%

“…where X is the spacelike direction of the optical axis of the crystal and U the timelike direction which characterizes the rest frame of the crystal. Recently local and linear premetric electrodynamics has gained some interest as model for a quantum field theory based on a more general causal structure than that of a Lorentzian metric [39][40][41][42].…”

Section: Premetric Electrodynamicsmentioning

confidence: 99%

Teleparallel theories of gravity as analogue of nonlinear electrodynamics

et al. 2018

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The teleparallel formulation of gravity theories reveals close structural analogies to electrodynamics, which are more hidden in their usual formulation in terms of the curvature of spacetime. We show how every locally Lorentz invariant teleparallel theory of gravity with second order field equations can be understood as built from a gravitational field strength and excitation tensor which are related to each other by a constitutive relation, analogous to the premetric construction of theories of electrodynamics. We demonstrate how the previously studied models of f (T) and f (Tax, Tten, Tvec) gravity as well as teleparallel dark energy can be formulated in this language. The advantage of this approach to gravity is that the field equations for different models all take the same compact form and general results can be obtained. An important new such result we find is a constraint which relates the field equations of the tetrad and the spin connection.

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“…(3) by contraction with the total antisymmetric Levi-Civita symbol ϵ abcd , which is normalized such that ϵ 0123 = 1. The covariant formulation of premetric electrodynamics enables a precise study of the propagation behaviour of light in this general setting [24] and for the quantization of the theory [14,25,26]. General premetric electrodynamics covers a huge variety of effects.…”

Section: Premetric Electrodynamicsmentioning

confidence: 99%

Observers’ measurements in premetric electrodynamics: Time and radar length

Gürlebeck

Pfeifer

2018

Phys. Rev. D

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The description of an observer's measurement in general relativity and the standard model of particle physics is closely related to the spacetime metric. In order to understand and interpret measurements, which test the metric structure of the spacetime, like the classical Michelson-Morley, Ives-Stilwell, Kennedy-Thorndike experiments or frequency comparison experiments in general, it is necessary to describe them in theories, which go beyond the Lorentzian metric structure. However, this requires a description of an observer's measurement without relying on a metric. We provide such a description of an observer's measurement of the fundamental quantities time and length derived from a premetric perturbation of Maxwell's electrodynamics and a discussion on how these measurements influence classical relativistic observables like time dilation and length contraction. Most importantly, we find that the modification of electrodynamics influences the measurements at two instances: the propagation of light is altered as well as the observer's proper time normalization. When interpreting the results of a specific experiment, both effects cannot be disentangled, in general, and have to be taken into account. * norman.guerlebeck@zarm.uni-bremen.de † christian.pfeifer@ut.ee 1 We will highlight in Sec. II that the photon sector of the SME is included in the premetric approach to electrodynamics. 2 The "metric" of that theory does not solely depend on the manifold's coordinates but also on the frame it is measured in, in particular, its motion with respect to a preferred frame. arXiv:1801.07724v2 [gr-qc]

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Electromagnetic potential in pre-metric electrodynamics: Causal structure, propagators and quantization

Cited by 20 publications

References 32 publications

Propagation of gravitational waves in teleparallel gravity theories

Propagation of gravitational waves in teleparallel gravity theories

Teleparallel theories of gravity as analogue of nonlinear electrodynamics

Observers’ measurements in premetric electrodynamics: Time and radar length

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