Perturbative description of the fermionic projector: Normalization, causality, and Furry's theorem

Finster, Felix and Tolksdorf, Juergen (2014) Perturbative description of the fermionic projector: Normalization, causality, and Furry's theorem. JOURNAL OF MATHEMATICAL PHYSICS, 55 (5): 052301. ISSN 0022-2488, 1089-7658

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Abstract

The causal perturbation expansion of the fermionic projector is performed with a contour integral method. Different normalization conditions are analyzed. It is shown that the corresponding light-cone expansions are causal in the sense that they only involve bounded line integrals. For the resulting loop diagrams we prove a generalized Furry theorem. (c) 2014 AIP Publishing LLC.

Item Type: Article
Uncontrolled Keywords: LIGHT-CONE EXPANSION; DIRAC SEA; POSITRON;
Subjects: 500 Science > 510 Mathematics
500 Science > 530 Physics
Divisions: Mathematics > Prof. Dr. Felix Finster
Depositing User: Dr. Gernot Deinzer
Date Deposited: 11 Nov 2019 10:00
Last Modified: 11 Nov 2019 10:00
URI: https://pred.uni-regensburg.de/id/eprint/10218

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