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

Finster, Felix, Murro, Simone and Röken, Christian (2017) The fermionic signature operator and quantum states in Rindler space-time. Journal of Mathematical Analysis and Applications 454 (1), pp. 385-411.

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Other URL: http://doi.org/10.1016/j.jmaa.2017.04.044


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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Item type:Article
Date:2017
Institutions:Mathematics > Prof. Dr. Felix Finster
Identification Number:
ValueType
10.1016/j.jmaa.2017.04.044DOI
Keywords:NONPERTURBATIVE CONSTRUCTION; PROJECTOR; LIFETIME; FIELDS; Rindler space-time; Dirac equation; Fermionic signature operator; Quantum states
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39761
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