arXiv 1111.56432011-11hep-phgr-qc

洛伦兹对称性的粒子相关形变

Particle-dependent deformations of Lorentz symmetry

Giovanni Amelino-Camelia

备注：: v2: added one more example of conservation law for interactions involving particles with different relativistic properties

摘要：

我在这里调查什么可以说是最重要的剩余挑战的建议现象学上可行的“DSR变形”的相对论运动学，这涉及到描述的复合粒子，如原子。在对洛伦兹对称性的DSR变形的可能场景进行形式化的一些方法中，出现了复合粒子应该具有与其组成的“基本粒子”不同的相对论性质，但是这些先前的结果没有提供关于如何一致地实现相对论性质的失配的线索。我表明，它是可能实现一个完全一致的DSR相对论描述赋予不同类型的粒子与适当不同的变形洛伦兹对称性的运动学。我还考虑了某些类型的粒子（或宏观物体）根据完全未变形的狭义相对论行为的可能性，这特别适用于构成测量装置（“观察者”）的宏观物体的DSR描述。的形式化也适用于不同的基本粒子有不同的相对论性质的情况下，导致一种类型的现象，我说明考虑可能的应用程序正在进行的分析“洛伦兹对称异常”，最近暂时报告的OPERA合作。在相对论运动学公式中引入的一些新元素，似乎也为时空对称代数相应的新数学公式的发展提供了起点。

英文摘要：

I here investigate what is arguably the most significant residual challenge for the proposal of phenomenologically viable "DSR deformations" of relativistic kinematics, which concerns the description of composite particles, such as atoms. In some approaches to the formalization of possible scenarios for DSR-deformation of Lorentz symmetry it emerges that composite particles should have relativistic properties different from the ones of their constituent "fundamental particles", but these previous results provided no clue as to how the mismatch of relativistic properties could be consistently implemented. I show that it is possible to implement a fully consistent DSR-relativistic description of kinematics endowing different types of particles with suitably different deformed-Lorentz-symmetry properties. I also contemplate the possibility that some types of particles (or macroscopic bodies) behave according to completely undeformed special relativity, which in particular might apply to the DSR description of the macroscopic bodies that constitute measuring devices ("observers"). The formalization is also applicable to cases where different fundamental particles have different relativistic properties, leading to a type of phenomenology which I illustrate by considering possible applications to the ongoing analyses of the "Lorentz-symmetry anomaly" that was recently tentatively reported by the OPERA collaboration. Some of the new elements here introduced in the formulation of relativistic kinematics appear to also provide the starting point for the development of a correspondingly novel mathematical formulation of spacetime-symmetry algebras.

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英文摘要：

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