Local algebras for causal fermion systems in Minkowski space

DOI10.1063/5.0011371zbMath1458.81029arXiv2004.00419OpenAlexW3096436671MaRDI QIDQ5141130

Marco Oppio, Felix Finster

Publication date: 17 December 2020

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

Full work available at URL: https://arxiv.org/abs/2004.00419

zbMATH Keywords

Dirac equationlocal algebrascausal fermion systems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Axiomatic quantum field theory; operator algebras (81T05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Fermionic systems in quantum theory (81V74)

Related Items (2)

The linear dynamics of wave functions in causal fermion systems ⋮ Causal fermion systems and the ETH approach to quantum theory

Cites Work

• A formulation of quantum field theory realizing a sea of interacting Dirac particles
• The continuum limit of causal fermion systems. From Planck scale structures to macroscopic physics
• Spectral Theory and Quantum Mechanics
• Perturbative quantum field theory in the framework of the fermionic projector
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