论文标题
团体理论对物理对称群体的看法
A group-theorist's perspective on symmetry groups in physics
论文作者
论文摘要
物理学中有许多谎言组，包括特殊相对论的洛伦兹组，自旋组（相对论和非偏见主义）以及量子电动力学量规组以及弱和强核力量。各种大型统一理论使用较大的谎言群体进行不同的尝试，将其中一些群体统一成更基本的东西。还有许多有限的对称组与有限数量的不同基本粒子类型相关。我对这些群体提供了团体理论家的观点，并提出了一些原则上更深入地使用群体理论的方法。这些建议包括目前似乎没有积极调查的许多选择。我打开一个问题，即是否可以在物理理论中实施。
There are many Lie groups used in physics, including the Lorentz group of special relativity, the spin groups (relativistic and non-relativistic) and the gauge groups of quantum electrodynamics and the weak and strong nuclear forces. Various grand unified theories use larger Lie groups in different attempts to unify some of these groups into something more fundamental. There are also a number of finite symmetry groups that are related to the finite number of distinct elementary particle types. I offer a group-theorist's perspective on these groups, and suggest some ways in which a deeper use of group theory might in principle be useful. These suggestions include a number of options that seem not to be under active investigation at present. I leave open the question of whether they can be implemented in physical theories.
