没有优选标架时电子超光加速器边界的弱点
Weakness of accelerator bounds on electron superluminality without a preferred frame
摘要:
参考实验室界限的电子的超光度获得的真空切伦科夫过程和LEP电子的同步辐射功率的测定的情况下。通常假设这些分析建立了电子的标准特殊相对论描述的有效性,其精确度至少达到$10^{14}$中的几个部分,特别是这被用来排除电子超发光的精确度。我们观察到,这些界限依赖于一个首选帧的可用性至关重要。真空中的切伦科夫过程在任何具有“变形洛伦兹对称性”的理论中自动被禁止,相对论理论虽然不同于狭义相对论,但保留了惯性系的相对性。同步辐射功率的测定可用于约束洛伦兹对称变形的可能性,但提供相当弱的界限,特别是对于电子超发光,我们建立提供给我们更多的约束功率比$10^4$的几个部分的精度。我们认为,这种观察只能有一个有限的作用,在正在进行的努力分析的异常暂定报告的OPERA合作,但我们强调,它可以提供一个有价值的案例研究,评估的局限性,“间接”测试的基本物理定律。
英文摘要:
The reference laboratory bounds on superluminality of the electron are obtained from the absence of in-vacuo Cherenkov processes and the determinations of synchrotron radiated power for LEP electrons. It is usually assumed that these analyses establish the validity of a standard special-relativistic description of the electron with accuracy of at least a few parts in $10^{14}$, and in particular this is used to exclude electron superluminality with such an accuracy. We observe that these bounds rely crucially on the availability of a preferred frame. In-vacuo-Cherenkov processes are automatically forbidden in any theory with "deformed Lorentz symmetry", relativistic theories that, while different from Special Relativity, preserve the relativity of inertial frames. Determinations of the synchrotron radiated power can be used to constrain the possibility of Lorentz-symmetry deformation, but provide rather weak bounds, which in particular for electron superluminality we establish to afford us no more constraining power than for an accuracy of a few parts in $10^4$. We argue that this observation can have only a limited role in the ongoing effort of analysis of the anomaly tentatively reported by the OPERA collaboration, but we stress that it could provide a valuable case study for assessing the limitations of "indirect" tests of fundamental laws of physics.
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