Generalized nuclearity conditions and the split property in quantum field theory

DOI10.1007/BF00703730zbMath0795.46002MaRDI QIDQ1182303

Detlev Buchholz, Jakob Yngvason

Publication date: 28 June 1992

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

zbMATH Keywords

quantum field theorysuperselection sectorslocal algebrassplit propertymodular operatorsgeneralized nuclearity conditionstheories with a maximal temperaturevectors of compact energy support

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (9)

Operator ideals and the statistical independence in quantum field theory ⋮ Unnamed Item ⋮ Nuclearity and thermal states in conformal field theory ⋮ Subsystems and independence in relativistic microscopic physics ⋮ The role of type III factors in quantum field theory ⋮ String-localized quantum fields and modular localization ⋮ Relativistic Causality in Algebraic Quantum Field Theory ⋮ There Are No Causality Problems for Fermi's Two-Atom System ⋮ Operator algebras and conformal field theory

Cites Work

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• Causal independence and the energy-level density of states in local quantum field theory
• Nuclear maps and modular structures. I: General properties
• The universal structure of local algebras
• A nuclearity condition for charged states
• Nuclear maps and modular structures. II: Applications to quantum field theory
• When does a quantum field theory describe particles?

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