A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds I - space-times of finite lifetime

Finster, Felix and Reintjes, Moritz (2015) A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds I - space-times of finite lifetime. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 19 (4). pp. 761-803. ISSN 1095-0761, 1095-0753

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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 Dirac equation and to the WKB approximation is explained and quantified by a detailed analysis of closed Friedmann-Robertson-Walker universes.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Felix Finster
Depositing User: Dr. Gernot Deinzer
Date Deposited: 25 Jul 2019 13:14
Last Modified: 25 Jul 2019 13:14
URI: https://pred.uni-regensburg.de/id/eprint/6133

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