Finster, Felix ; Murro, Simone 
; Röken, Christian
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Journal of Mathematical Physics |
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| Verlag: | AMER INST PHYSICS |
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| Ort der Veröffentlichung: | MELVILLE |
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| Band: | 57 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 7 |
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| Seitenbereich: | 072303 |
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| Datum: | 2016 |
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| Institutionen: | Mathematik
Mathematik > Prof. Dr. Felix Finster |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1063/1.4954806 | DOI |
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| Stichwörter / Keywords: | QUANTUM-FIELD-THEORY; LIGHT-CONE EXPANSION; CURVED SPACETIME; SINGULARITY STRUCTURE; 2-POINT FUNCTION; DIRAC SEA; CONSTRUCTION; OBSERVABLES; MANIFOLD; |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 42631 |
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Zusammenfassung
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 ...
Zusammenfassung
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.
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