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

DOI10.1063/1.4874796zbMath1295.81112arXiv1401.4353OpenAlexW2050483353MaRDI QIDQ5171357

Felix Finster, Jürgen Tolksdorf

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4353

zbMATH Keywords

normalization methodfermionic loopslight-cone expansionFurry's theoremcausal perturbation expansionfermionc projectorunitary perturbation flow

Mathematics Subject Classification ID

Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Statistical thermodynamics (82B30) Thermal quantum field theory (81T28)

Related Items (6)

Noether-like theorems for causal variational principles ⋮ The fermionic projector in a time-dependent external potential: Mass oscillation property and Hadamard states ⋮ A mechanism of baryogenesis for causal fermion systems ⋮ The causal action in Minkowski space and surface layer integrals ⋮ A gauge fixing procedure for causal fermion systems ⋮ Perturbative quantum field theory in the framework of the fermionic projector

Cites Work

• Unnamed Item
• Unnamed Item
• A formulation of quantum field theory realizing a sea of interacting Dirac particles
• Definition of the Dirac sea in the presence of external fields
• Light-cone expansion of the Dirac sea to first order in the external potential
• Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials
• Causal Fermion Systems: A Quantum Space-Time Emerging From an Action Principle
• Quantal phase factors accompanying adiabatic changes
• Perturbative quantum field theory in the framework of the fermionic projector
• The causal perturbation expansion revisited: Rescaling the interacting Dirac sea
• Polarization Effects in the Positron Theory
• Space-Time Approach to Quantum Electrodynamics

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