The physical meaning of the de Sitter invariants |
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Authors: | Email author" target="_blank">Ion?I?Cot?escuEmail author |
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Institution: | 1.West University of Timi?oara,Timi?oara,Romania |
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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. |
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Keywords: | |
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