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Speaker |
Itin, Yakov |
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| Talk Title |
Skewon modification of the light cone structure |
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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 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 necessarily spacelike or null. It provides an extreme violation of the Lorentz symmetry. In the case of a skewon represented by a symmetric matrix, we observe a parametric gap that has some similarity to the Higgs model. |
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