非交换Magueijo-Smolin模型中的CPT破缺
CPT breaking in noncommutative Magueijo-Smolin model
AI总结：
本文研究非交换Magueijo-Smolin模型中CPT对称性破缺，发现其哈密顿量在能量反转下不变性缺失，导致反粒子质量异于粒子，并探讨其量子化及量子场论解释。
摘要：
我们回顾了一种基于Magueijo和Smolin（MS）提出的双重狭义相对论模型在非交换时空上的特定实现所构成的非交换几何实例。特别地，我们讨论了与之关联的Hopf代数，该代数迄今为止尚未在文献中被考虑。我们证明该模型的动量扇区可以视为\kp模型的一个特定基。一个有趣的性质是，MS哈密顿量在能量符号反转下并不不变，特别是它在标准电荷共轭定义下也不不变。因此，如果按照Dirac的做法将负能量态视为反粒子，则其质量与粒子不同。我们在一阶量子化的背景下考察了这一事实可能带来的后果，并从量子场论的角度讨论其解释，同时考虑非交换框架中提出的可能的电荷共轭替代定义。
英文摘要：
We review an instance of noncommutative geometry based on a specific realization of the model of doubly special relativity proposed by Magueijo and Smolin (MS) on noncommutative spacetime. In particular, we discuss the Hopf algebra associated to it, which has not been considered in the literature till now. We show that the momentum sector of this model can be viewed as a particular basis of the \kp model. An interesting property is that the MS Hamiltonian is not invariant under the reversal of the sign of the energy, and in particular it is not invariant under the standard definition of charge conjugation. Therefore, if following Dirac one identifies the negative energy states with antiparticles, their mass differs from that of particles. We examine the possible consequences of this fact in the context of first quantization and discuss its interpretation from the point of view of quantum field theory, taking into account possible alternative definitions of charge conjugation proposed in the noncommutative framework.
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