The causal perturbation expansion revisited: Rescaling the interacting Dirac sea

DOI10.1063/1.3449058zbMath1311.81253arXiv0901.0334OpenAlexW3105671495MaRDI QIDQ5251813

Felix Finster, Andreas Grotz

Publication date: 21 May 2015

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

Full work available at URL: https://arxiv.org/abs/0901.0334

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Axiomatic quantum field theory; operator algebras (81T05) Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (5)

The fermionic projector in a time-dependent external potential: Mass oscillation property and Hadamard states ⋮ A formulation of quantum field theory realizing a sea of interacting Dirac particles ⋮ Perturbative quantum field theory in the framework of the fermionic projector ⋮ Perturbative description of the fermionic projector: Normalization, causality, and Furry's theorem ⋮ Bosonic Loop Diagrams as Perturbative Solutions of the Classical Field Equations in ϕ4-Theory

Cites Work

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• 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
• Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation
• Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials
• Entanglement and second quantization in the framework of the fermionic projector
• From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives
• Self-consistent solution for the polarized vacuum in a no-photon QED model

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