Harari-Shannon前子模型与非相对论量子相空间
The Harari-Shupe preon model and nonrelativistic quantum phase space
摘要：
我们提出Harari-Shirrishon模型的整个代数结构起源于二次型x^2+p^2的Dirac-like线性化，位置和动量满足标准对易关系。该方案没有引用前子作为自旋为1/2的亚粒子的概念，从而避免了前子约束的问题，同时充分解释了Harari-Shirt模型中包含的所有对称性。此外，夸克色的概念自然地与里逊的有序性联系在一起。我们的方案导致群U（1）xSU（3）与SU（2）结合，其中两个SU（2）生成元不与反射对易。提出了一种用相空间中的真实转动和反射来解释代内夸克-轻子变换的方法。
英文摘要：
We propose that the whole algebraic structure of the Harari-Shupe rishon model originates via a Dirac-like linearization of quadratic form x^2+p^2, with position and momentum satisfying standard commutation relations. The scheme does not invoke the concept of preons as spin-1/2 subparticles, thus evading the problem of preon confinement, while fully explaining all symmetries emboded in the Harari-Shupe model. Furthermore, the concept of quark colour is naturally linked to the ordering of rishons. Our scheme leads to group U(1)xSU(3) combined with SU(2), with two of the SU(2) generators not commuting with reflections. An interpretation of intra-generation quark-lepton transformations in terms of genuine rotations and reflections in phase space is proposed.
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