Lorentz invariance violation and symmetry in Randers–Finsler spaces
Lorentz invariance violation and symmetry in Randers–Finsler spaces
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DOI：
10.1016/j.physletb.2008.03.045
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发表时间：
2007-11
影响因子：
4.4
通讯作者：
Z. Chang;Xin Li
中科院分区：
文献类型：
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作者：
Z. Chang;Xin Li
洛伦兹不变性破坏是标准模型之外的新物理学的一个共同特征。我们证明，兰德斯空间的对称性推导出具有洛伦兹不变性破坏特征的修正色散关系。明确地给出了爱因斯坦狭义相对论中洛伦兹变换的对应物。坐标变换是酉的并且形成一个群。它们满足的生成元和代数与通常的洛伦兹生成元和代数不同。兰德斯线元以及光速在变换下保持不变。特别地，还有另一个不变速度，它可能与普朗克尺度和运动粒子的质量有关。因此，兰德斯空间是讨论洛伦兹不变性破坏的合适框架。
Lorentz invariance violation is a common feature of new physics beyond the Standard Model. We show that the symmetry of Randers spaces deduces a modified dispersion relation with characteristics of Lorentz invariance violation. The counterparts of the Lorentz transformation in the Einstein's special relativity are presented explicitly. The coordinate transformations are unitary and form a group. Generators and algebra satisfied by them are different from usual Lorentz ones. The Randersian line element as well as speed of light is invariant under the transformations. In particular, there is another invariant speed which may be related with Planck scale and the mass of moving particle. Thus, the Randers spaces is a suitable framework to discuss the Lorentz invariance violation.