Perturbative Quantum Field Theory in the Framework of the Fermionic Projector

Abstract

We give a microscopic derivation of perturbative quantum field theory, taking causal fermion systems and the framework of the fermionic projector as the starting point. The resulting quantum field theory agrees with standard quantum field theory on the tree level and reproduces all bosonic loop diagrams. The fermion loops are described in a different formalism in which no ultraviolet divergences occur.

63 pages, LaTeX, 19 figures, minor corrections and improvements (published version)

References in corpus (5)

• A Non-Perturbative Construction of the Fermionic Projector on Globally Hyperbolic Manifolds II -- Space-Times of Infinite Lifetime
• Perturbative Description of the Fermionic Projector: Normalization, Causality and Furry's Theorem
• The Fermionic Projector, Entanglement, and the Collapse of the Wave Function
• The Continuum Limit of a Fermion System Involving Leptons and Quarks: Strong, Electroweak and Gravitational Interactions
• Effective dynamics of a tracer particle in a dense homogeneous quantum gas

Cited by in corpus (15)

• Multi-Time Wave Functions for Quantum Field Theory
• Causal Fermion Systems as a Candidate for a Unified Physical Theory
• Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts
• Noether-Like Theorems for Causal Variational Principles
• Causal Fermion Systems: A Primer for Lorentzian Geometers
• Complex Structures on Jet Spaces and Bosonic Fock Space Dynamics for Causal Variational Principles
• Perturbative Description of the Fermionic Projector: Normalization, Causality and Furry's Theorem
• The Causal Action in Minkowski Space and Surface Layer Integrals
• Fermionic Fock Spaces and Quantum States for Causal Fermion Systems
• The Continuum Limit of a Fermion System Involving Leptons and Quarks: Strong, Electroweak and Gravitational Interactions
• Causal Variational Principles in the $\sigma$-Locally Compact Setting: Existence of Minimizers
• Causal Fermion Systems and the ETH Approach to Quantum Theory
• Modified Measures as an Effective Theory for Causal Fermion Systems
• Local Algebras for Causal Fermion Systems in Minkowski Space
• Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems