On generally covariant quantum field theory and generalized causal and dynamical structures

DOI10.1007/BF01218481zbMath0655.46058MaRDI QIDQ1109304

Ulrich Bannier

Publication date: 1988

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

zbMATH Keywords

\(C^*\)-algebraobservablesMinkowski spaceEinstein causalitycovariant net of \(C^*\)-algebrasgeneralized causal relationPoincaré Invariancepresence of many maximal, two-sided ideals in the local algebraPrimitive causalityself-adjoint elements

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Miscellaneous applications of functional analysis (46N99)

Related Items (4)

Intrinsic algebraic characterization of space-time structure ⋮ Continuity of Symplectically Adjoint Maps and the Algebraic Structure of Hadamard Vacuum Representations for Quantum Fields on Curved Spacetime ⋮ Covariant phase space, constraints, gauge and the Peierls formula ⋮ Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime

Cites Work

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• Generally covariant quantum field theory and scaling limits
• Algebras of local observables on a manifold
• A generalization of the classical moment problem on \(^*\)-algebras with applications to relativistic quantum theory. I
• Missed opportunities
• An Algebraic Approach to Quantum Field Theory

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