A Non-Perbturbative Construction Of The Fermionic Projector On Globally Hyperbolic Manifolds I – Space-Times Of Finite Lifetime - University of Regensburg Publication Server

URN to cite this document:: urn:nbn:de:bvb:355-epub-279163
DOI to cite this document:: 10.5283/epub.27916

Finster, Felix ; Reintjes, Moritz

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Date of publication of this fulltext: 13 Mar 2013 09:58

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Item type:	Monograph (Working Paper)
Series of the University of Regensburg:	Preprintreihe der Fakultät Mathematik
Volume:	01/2013
Date:	2013
Institutions:	Mathematics > Prof. Dr. Felix Finster
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Unknown
Refereed:	No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:	Yes
Item ID:	27916

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Abstract

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 ...

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A Non-Perbturbative Construction Of The Fermionic Projector On Globally Hyperbolic Manifolds I – Space-Times Of Finite Lifetime

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