论文标题
通过MUON寿命测量达到普朗克量表
Reaching the Planck scale with muon lifetime measurements
论文作者
论文摘要
普朗克量表修饰的分散关系是如何有效地捕获量子重力对基本点颗粒传播的影响的一种方法。我们得出观察者或粒子的适当时间之间的时间扩张，这是由改良的分散关系和参考实验室时间引起的Finslerian长度度量给出的。为此，明确构建了一般相对论分散关系的一般一阶扰动的Finsler长度度量。然后，我们在几个动量空间基础上以及在字符串理论和环量子引力的上下文中考虑的$κ$-POINCARé分散关系的时间扩张公式。最有趣的是，我们发现，洛伦兹的动量因素原则上可以变得足够大，以限制Finsler的实现$κ$κ$-Poincaré分散的关系，这是双曲子的基础上的，以及在弦乐理论中获得的弦乐理论，受到了经过修改的分散关系，并在Planck scale scale scale scapitivity s scale scapitivity s s scapitivity see the Muon的帮助。
Planck scale modified dispersion relations are one way how to capture the influence of quantum gravity on the propagation of fundamental point particles effectively. We derive the time dilation between an observer's or particle's proper time, given by a Finslerian length measure induced from a modified dispersion relation, and a reference laboratory time. To do so, the Finsler length measure for general first order perturbations of the general relativistic dispersion relation is constructed explicitly. From this we then derive the time dilation formula for the $κ$-Poincaré dispersion relation in several momentum space bases, as well as for modified dispersion relations considered in the context of string theory and loop quantum gravity. Most interestingly we find that the momentum Lorentz factor in the present and future colliders can, in principle, become large enough to constrain the Finsler realization of the $κ$-Poincaré dispersion relation in the bicrossproduct basis as well as a string theory inspired modified dispersion relation, at Planck scale sensitivity with the help of the muon's lifetime.
