光传播中可能存在的偏态效应
On possible skewon effects on light propagation
摘要:
我们从电磁激励和场强之间的局部线性时空关系出发。然后研究了光线和光波的广义协变菲涅耳曲面。度规和时空的连接都是未知的。因此,我们的框架非常适合搜索扩展标准模型的光子部分中可能违反洛伦兹对称性的情况。我们将讨论如何skewon的本构张量的一部分,如果适当的参数化,影响菲涅耳表面和干扰光锥的真空电动力学。指定的条件,产生减少原来的四次菲涅耳表面的双光锥结构(双折射)和单光锥。定性地说,真实skewon场的效果可以与吸收材料介质中的效果进行比较。与此相反,虚偏场可以用具有自然旋光性和法拉第效应的非吸收介质来解释。利用伽马射线暴的天体物理资料,导出了偏场的大小上限。
英文摘要:
We start from a local and linear spacetime relation between the electromagnetic excitation and the field strength. Then we study the generally covariant Fresnel surfaces for light rays and light waves. The metric and the connection of spacetime are left unspecified. Accordingly, our framework is ideally suited for a search of possible violations of the Lorentz symmetry in the photon sector of the extended standard model. We discuss how the skewon part of the constitutive tensor, if suitably parametrized, influences the Fresnel surfaces and disturbs the light cones of vacuum electrodynamics. Conditions are specified that yield the reduction of the original quartic Fresnel surface to the double light cone structure (birefringence) and to the single light cone. Qualitatively, the effects of the real skewon field can be compared to those in absorbing material media. In contrast, the imaginary skewon field can be interpreted in terms of non-absorbing media with natural optical activity and Faraday effects. The astrophysical data on gamma-ray bursts are used for deriving an upper limit for the magnitude of the skewon field.
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