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- Title
The physical meaning of the de Sitter invariants.
- Authors
Cotăescu, Ion I.
- Abstract
We study the Lie algebras of the covariant representations transforming the matter fields under the de Sitter isometries. We point out that the Casimir operators of these representations can be written in closed forms and we deduce how their eigenvalues depend on the field's rest energy and spin. For the scalar, vector and Dirac fields, which have well-defined field equations, we express these eigenvalues in terms of mass and spin obtaining thus the principal invariants of the theory of free fields on the de Sitter spacetime. We show that in the flat limit we recover the corresponding invariants of the Wigner irreducible representations of the Poincaré group.
- Subjects
EIGENVALUES; EINSTEIN field equations; EQUATIONS; FIELD theory (Physics); PHYSICS; QUANTUM theory
- Publication
General Relativity & Gravitation, 2011, Vol 43, Issue 6, p1639
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-011-1145-2