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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
7/2014

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

Felix Finster and Jürgen Tolksdorf

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.

Received:
Jan 20, 2014
Published:
Feb 25, 2014
Keywords:
Fermionic projector, causality, Perturbation Theory

Related publications

inJournal
2014 Repository Open Access
Felix Finster and Jürgen Tolksdorf

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

In: Journal of mathematical physics, 55 (2014) 5, p. 052301