de Sitter空间中旋量场的CPT群
CPT groups for spinor field in de Sitter space
摘要:
利用超特殊有限群研究了de Sitter空间中旋量场的离散变换(宇称变换、时间反演变换和电荷共轭变换)的群结构。引入了两个$CPT$群,第一个群来自于对旋量场的de Sitter-Dirac波动方程的分析,第二个群来自于基于Clifford代数自同构集的纯代数方法.证明了这两个群是同构的。
英文摘要:
A group structure of the discrete transformations (parity, time reversal and charge conjugation) for spinor field in de Sitter space are studied in terms of extraspecial finite groups. Two $CPT$ groups are introduced, the first group from an analysis of the de Sitter-Dirac wave equation for spinor field, and the second group from a purely algebraic approach based on the automorphism set of Clifford algebras. It is shown that both groups are isomorphic to each other.
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