论文标题
量子时空中的多粒子系统和质量运动的新挑战
Multi-particle systems in quantum spacetime and a novel challenge for center-of-mass motion
论文作者
论文摘要
最近,人们对量子重力的方案引起了极大的兴趣,在这种情况下,粒子运动学受普朗克量表非线性影响,这对现象学前景产生了令人鼓舞的结果,但同时也担心非线性可能会对复合/多粒子系统产生病理特性。在这里,我们重点介绍$κ$ -Minkowski非共同时空的运动学,从这个角度来看,量子时空是最多研究的,并比较了到目前为止提出的多粒子系统总动量的替代描述的含义。我们提供的证据表明,应优先考虑将总动量定义为组成系统粒子的矩形的标准线性总和。我们还发现了一个以前未注意的特征,该功能涉及由于组成部分相对于质量中心的运动的特性,对质量中心运动的某些(但概念上重要)的影响。
In recent times there has been considerable interest in scenarios for quantum gravity in which particle kinematics is affected nonlinearly by the Planck scale, with encouraging results for the phenomenological prospects, but also some concerns that the nonlinearities might produce pathological properties for composite/multiparticle systems. We here focus on kinematics in the $κ$-Minkowski noncommutative spacetime, the quantum spacetime which has been most studied from this perspective, and compare the implications of the alternative descriptions of the total momentum of a multiparticle system which have been so far proposed. We provide evidence suggesting that priority should be given to defining the total momentum as the standard linear sum of the momenta of the particles composing the system. We also uncover a previously unnoticed feature concerning some (minute but conceptually important) effects on center-of-mass motion due to properties of the motion of the constituents relative to the center of mass.