Finster, Felix and Murro, Simone and Roeken, Christian (2016) The fermionic projector in a time-dependent external potential: Mass oscillation property and Hadamard states. JOURNAL OF MATHEMATICAL PHYSICS, 57 (7): 072303. ISSN 0022-2488, 1089-7658
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We give a non-perturbative construction of the fermionic projector in Minkowski space coupled to a time-dependent external potential which is smooth and decays faster than quadratically for large times. The weak and strong mass oscillation properties are proven. We show that the integral kernel of the fermionic projector is of the Hadamard form, provided that the time integral of the spatial sup-norm of the potential satisfies a suitable bound. This gives rise to an algebraic quantum field theory of Dirac fields in an external potential with a distinguished pure quasi-free Hadamard state. Published by AIP Publishing.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM-FIELD-THEORY; LIGHT-CONE EXPANSION; CURVED SPACETIME; SINGULARITY STRUCTURE; 2-POINT FUNCTION; DIRAC SEA; CONSTRUCTION; OBSERVABLES; MANIFOLD; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Apr 2019 13:03 |
| Last Modified: | 02 Apr 2019 13:03 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3654 |
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