Finster, Felix ; Reintjes, Moritz
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| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Advances in Theoretical and Mathematical Physics |
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| Verlag: | INT PRESS BOSTON, INC |
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| Ort der Veröffentlichung: | SOMERVILLE |
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| Band: | 19 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 4 |
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| Seitenbereich: | S. 761-803 |
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| Datum: | 2015 |
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| Institutionen: | Mathematik > Prof. Dr. Felix Finster |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.4310/ATMP.2015.v19.n4.a3 | DOI |
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| Stichwörter / Keywords: | ; |
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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: | 60731 |
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Zusammenfassung
We give a functional analytic construction of the fermionic projector on a globally hyperbolic Lorentzian manifold of finite lifetime. The integral kernel of the fermionic projector is represented by a two-point distribution on the manifold. By introducing an ultraviolet regularization, we get to the framework of causal fermion systems. The connection to the "negative-energy solutions" of the ...
Zusammenfassung
We give a functional analytic construction of the fermionic projector on a globally hyperbolic Lorentzian manifold of finite lifetime. The integral kernel of the fermionic projector is represented by a two-point distribution on the manifold. By introducing an ultraviolet regularization, we get to the framework of causal fermion systems. The connection to the "negative-energy solutions" of the Dirac equation and to the WKB approximation is explained and quantified by a detailed analysis of closed Friedmann-Robertson-Walker universes.