675 research outputs found
CPT Groups of Spinor Fields in de Sitter and Anti-de Sitter Spaces
groups for spinor fields in de Sitter and anti-de Sitter spaces are
defined in the framework of automorphism groups of Clifford algebras. It is
shown that de Sitter spaces with mutually opposite signatures correspond to
Clifford algebras with different algebraic structure that induces an essential
difference of groups associated with these spaces. groups for
charged particles are considered with respect to phase factors on the various
spinor spaces related with real subalgebras of the simple Clifford algebra over
the complex field (Dirac algebra). It is shown that groups for neutral
particles which admit particle-antiparticle interchange and groups for
truly neutral particles are described within semisimple Clifford algebras with
quaternionic and real division rings, respectively. A difference between
bosonic and fermionic groups is discussed.Comment: 31 pages. arXiv admin note: text overlap with arXiv:math-ph/0405040,
arXiv:math-ph/0203059, arXiv:math-ph/030603
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