Drago, Nicolo and Murro, Simone (2017) A new class of Fermionic Projectors: Moller operators and mass oscillation properties. LETTERS IN MATHEMATICAL PHYSICS, 107 (12). pp. 2433-2451. ISSN 0377-9017, 1573-0530
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Recently, a new functional analytic construction of quasi-free states for a self-dual CAR algebra has been presented in Finster and Reintjes (Adv Theor Math Phys 20:1007, 2016). This method relies on the so-called strong mass oscillation property. We provide an example where this requirement is not satisfied, due to the nonvanishing trace of the solutions of the Dirac equation on the horizon of Rindler space, and we propose a modification of the construction in order to weaken this condition. Finally, a connection between the two approaches is built.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM-FIELD-THEORY; MICROLOCAL SPECTRUM CONDITION; CURVED SPACE-TIME; HADAMARD STATES; SINGULARITY STRUCTURE; 2-POINT FUNCTION; DIRAC FIELDS; CONSTRUCTION; OBSERVABLES; MANIFOLD; Dirac fields; Fermionic Projector; Mass oscillation property; Moller operator; Quasi-free states; Self-dual CAR algebra |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:19 |
| Last Modified: | 19 Feb 2019 07:56 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1813 |
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