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arXiv math-ph/0508050math-phmath.MP
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de Sitter空间中旋量场的CPT群

CPT groups for spinor field in de Sitter space

V. V. Varlamov

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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