Operator ideals and the statistical independence in quantum field theory

DOI10.1007/BF00343190zbMath0862.46050MaRDI QIDQ1922496

Yanyan Li

Publication date: 25 May 1997

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

zbMATH Keywords

dynamical systemsquantum field theoryoperator idealsnuclearityaction of certain homomorphism groups on von Neumann algebrasanalyticity of nuclear maps in the nuclear normstatistical independence of commuting algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Operator ideals (47L20)

Cites Work

• Causal independence and the energy-level density of states in local quantum field theory
• Nuclear maps and modular structures. I: General properties
• A nuclearity condition for charged states
• Generalized nuclearity conditions and the split property in quantum field theory
• Nuclear maps and modular structures. II: Applications to quantum field theory
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