Photon propagation in noncommutative QED with constant external field R. Fresneda, D. M. Gitman, A. E. Shabad
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ArticleSubject(s): квантовая электродинамика | фотоны | магнитные поля | электрические поляGenre/Form: статьи в журналах Online resources: Click here to access online
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Physical Review D Vol. 91, № 8. P. 085005-1-085005-10Abstract: We find dispersion laws for the photon propagating in the presence of mutually orthogonal constant external electric and magnetic fields in the context of the θ-expanded noncommutative QED. We show that there is no birefringence to the first order in the noncommutativity parameter θ. By analyzing the group velocities of the photon eigenmodes we show that there occurs superluminal propagation for any direction. This phenomenon depends on the mutual orientation of the external electromagnetic fields and the noncommutativity vector. We argue that the propagation of signals with superluminal group velocity violates causality in spite of the fact that the noncommutative theory is not Lorentz invariant and speculate about possible workarounds.
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We find dispersion laws for the photon propagating in the presence of mutually orthogonal constant external electric and magnetic fields in the context of the θ-expanded noncommutative QED. We show that there is no birefringence to the first order in the noncommutativity parameter θ. By analyzing the group velocities of the photon eigenmodes we show that there occurs superluminal propagation for any direction. This phenomenon depends on the mutual orientation of the external electromagnetic fields and the noncommutativity vector. We argue that the propagation of signals with superluminal group velocity violates causality in spite of the fact that the noncommutative theory is not Lorentz invariant and speculate about possible workarounds.
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