论文标题

时间延迟,能量摩托车变量的选择以及双重特殊相对论中的相对位置

Time delays, choice of energy-momentum variables and relative locality in doubly special relativity

论文作者

Carmona, J. M., Cortés, J. L., Relancio, J. J., Reyes, M. A.

论文摘要

双重特殊相对论(DSR)理论考虑(量子强烈动机)特殊相对论与相对性原理兼容的对称性的变形。无质量粒子的时间延迟的存在,这是他们提出的现象学后果之一,是一个微妙的问题,因为与洛伦兹违规情况(LIV)场景发生了什么相反,它们不仅是由粒子分散关系中的修改确定的。尽管一些DSR的研究断言了光子时间延迟的存在,但在本文中,我们推广了一个最近提出的用于DSR的时间延迟研究的模型,并表明光子时间延迟的存在并不一定是从DSR场景中遵循的,确定了哪种情况是这样。此外,我们阐明了有关能量摩托明标签的任意性的长期问题,以及此选择的时间延迟的独立性,以及其与DSR理论相对位置范式的计算的一致性。最后,我们表明,时间延迟的结果是在考虑非交换时空传播的模型中复制的。

Doubly Special Relativity (DSR) theories consider (quantum-gravity motivated) deformations of the symmetries of special relativity compatible with a relativity principle. The existence of time delays for massless particles, one of their proposed phenomenological consequences, is a delicate question, since, contrary to what happens with Lorentz Invariance Violation (LIV) scenarios, they are not simply determined by the modification in the particle dispersion relation. While some studies of DSR assert the existence of photon time delays, in this paper we generalize a recently proposed model for time delay studies in DSR and show that the existence of photon time delays does not necessarily follow from a DSR scenario, determining in which cases this is so. Moreover, we clarify long-standing questions about the arbitrariness in the choice of the energy-momentum labels and the independence of the time delay on this choice, as well as on the consistency of its calculation with the relative locality paradigm of DSR theories. Finally, we show that the result for time delays is reproduced in models that consider propagation in a noncommutative spacetime.

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