Perturbative Description of the Fermionic Projector: Normalization, Causality and Furry's Theorem

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.

34 pages, LaTeX, 2 ancillary files, minor improvements (published version)

References in corpus (2)

• A Non-Perturbative Construction of the Fermionic Projector on Globally Hyperbolic Manifolds II -- Space-Times of Infinite Lifetime
• Perturbative Quantum Field Theory in the Framework of the Fermionic Projector

Cited by in corpus (14)

• Causal Fermion Systems as a Candidate for a Unified Physical Theory
• The Fermionic Projector in a Time-Dependent External Potential: Mass Oscillation Property and Hadamard States
• A Non-Perturbative Construction of the Fermionic Projector on Globally Hyperbolic Manifolds II -- Space-Times of Infinite Lifetime
• Noether-Like Theorems for Causal Variational Principles
• Perturbative Quantum Field Theory in the Framework of the Fermionic Projector
• The Causal Action in Minkowski Space and Surface Layer Integrals
• Spinors on Singular Spaces and the Topology of Causal Fermion Systems
• A Mechanism of Baryogenesis for Causal Fermion Systems
• A Gauge Fixing Procedure for Causal Fermion Systems
• The Continuum Limit of a Fermion System Involving Leptons and Quarks: Strong, Electroweak and Gravitational Interactions
• Causal Fermion Systems and Octonions
• A Positive Mass Theorem for Static Causal Fermion Systems
• Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems
• Introduction to Causal Fermion Systems