论文标题
Dirac理论的离散对称性
Discrete symmetries of Dirac's theory in the de Sitter manifold
论文作者
论文摘要
考虑到这两部分可以发挥物理空间时间的作用，即扩展和一个崩溃的宇宙，研究了DIDAR歧管上Dirac字段的离散对称性。保留该部分的适当离散等法具有物理含义，与不当的异构含义相反，这种含义会改变仅数学兴趣的部分。由适当的异构体生成的离散对称性和电荷共轭在扩展部分的物理框架中研究，以至于所有离散转换逆转宇宙时间的转换都是局部局部的，具体取决于局部升压矩阵。因此，获得了dirac理论的离散群体在扩展宇宙中，表明这是16顺序，其乘法表在特殊相对论中具有类似于狄拉克理论的乘法表。此外，所有离散的de保姆等法（包括不当的）均以保形框架进行了研究，尽管无法在具有物理含义的较大的离散群体中收集这些较大的离散群体，以获取有关de Sitter同征的全局图像。
The discrete symmetries of the Dirac field on the de Sitter manifold are studied taking into account that this has two portions that can play the role of physical space-times, namely the expanding and a collapsing universes. The proper discrete isometries which preserve the portion have a physical meaning in contrast to the improper ones which change the portion remaining thus of a mere mathematical interest. The discrete symmetries generated by the proper isometries and charge conjugation are studied in physical frames on the expanding portion shoving that all the discrete transformations reversing the cosmic time are local depending on a local boost matrix. Thus the discrete group of Dirac's theory in the de Sitter expanding universe is obtained showing that this is of the order 16 having a multiplication table similar to that of Dirac's theory in special relativity. Moreover, all the discrete de Sitter isometries, including the improper ones, are studied in conformal frames for obtaining a global image about the de Sitter isometries in spite of the fact that these cannot be gathered in a larger discrete group with physical meaning.
