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

Felix Finster and Jürgen Tolksdorf

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Submission date: 29. Jan. 2014
Pages: 34
published in: Journal of mathematical physics, 55 (2014) 5, art-no. 052301 
DOI number (of the published article): 10.1063/1.4874796
Bibtex
Keywords and phrases: Fermionic projector, causality, Perturbation Theory
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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.