Finster, Felix and Murro, Simone and Roeken, Christian (2017) The fermionic signature operator and quantum states in Rindler space-time. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 454 (1). pp. 385-411. ISSN 0022-247X, 1096-0813
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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 of general thermal states, in particular of the Unruh state. The fermionic signature operator is shown to be well-defined in asymptotically Rindler space-times. In four-dimensional Kindler space-time, our construction gives rise to new quantum states. (C) 2017 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NONPERTURBATIVE CONSTRUCTION; PROJECTOR; LIFETIME; FIELDS; Rindler space-time; Dirac equation; Fermionic signature operator; Quantum states |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:19 |
| Last Modified: | 19 Feb 2019 14:04 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2151 |
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