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
Full text not available from this repository. (Request a copy)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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