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# The fermionic signature operator and quantum states in Rindler space-time

URN to cite this document:
urn:nbn:de:bvb:355-epub-339009
DOI to cite this document:
10.5283/epub.33900
Finster, Felix ; Murro, Simone ; Röken, Christian
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Date of publication of this fulltext: 21 Jun 2016 13:33

## Abstract

The fermionic signature operator is constructed in Rindler space-time. It is shown to be an unbounded self-adjoint operator on the Hilbert space of solutions of the massive Dirac equation. In two-dimensional Rindler space-time, we prove that the resulting fermionic projector state coincides with the Fulling-Rindler vacuum. Moreover, the fermionic signature operator gives a covariant construction ...

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