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

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.
Authors:
 [1] ;  [2]
  1. Fakultät für Mathematik, Universität Regensburg, D-93040 Regensburg (Germany)
  2. Max Planck Institute for Mathematics in the Sciences, Leipzig (Germany)
Publication Date:
OSTI Identifier:
22250637
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CAUSALITY; DIAGRAMS; FERMIONS; INTEGRALS; LIGHT CONE; PERTURBATION THEORY