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The fermionic signature operator in de Sitter spacetime

Dappiaggi, Claudio ; Finster, Felix ; Murro, Simone ; Radici, Emanuela



Abstract

The fermionic projector state is a distinguished quasi-free state for the algebra of Dirac fields in a globally hyperbolic spacetime. We construct and analyze it in the four-dimensional de Sitter spacetime, both in the closed and in the flat slicing. In the latter case we show that the mass oscillation properties do not hold due to boundary effects. This is taken into account in a so-called mass ...

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