The locality axiom in quantum field theory and tensor products of C*-algebras

DOI10.1142/S0129055X1450010XzbMath1308.46063arXiv1206.5484OpenAlexW2963855315WikidataQ114008635 ScholiaQ114008635MaRDI QIDQ2875652

Katarzyna Rejzner, Paniz Imani, Romeo Brunetti, Klaus Fredenhagen

Publication date: 11 August 2014

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

Full work available at URL: https://arxiv.org/abs/1206.5484

zbMATH Keywords

monoidal categoriescausalityalgebraic quantum field theory\(C^\ast\)-algebraslocally covariant quantum field theory

Mathematics Subject Classification ID

Related Items (11)

The extension of distributions on manifolds, a microlocal approach ⋮ Cylindrical Wigner measures ⋮ A cohomological perspective on algebraic quantum field theory ⋮ The split property for quantum field theories in flat and curved spacetimes ⋮ Categorial subsystem independence as morphism co-possibility ⋮ Quantum fields and local measurements ⋮ The split property for locally covariant quantum field theories in curved spacetime ⋮ A categorial approach to relativistic locality ⋮ A Generally Covariant Measurement Scheme for Quantum Field Theory in Curved Spacetimes ⋮ Quantum field theory on curved spacetimes: Axiomatic framework and examples ⋮ Relating nets and factorization algebras of observables: free field theories

Cites Work

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• Standard and split inclusions of von Neumann algebras
• The generally covariant locality principle -- a new paradigm for local quantum field theory
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• On the cross-norm of the direct product of \(C^ *\)-algebras
• Independence of local algebras in quantum field theory
• Local Covariance and Background Independence
• Quantum Field Theory on Curved Backgrounds
• An Algebraic Approach to Quantum Field Theory
• Local Wick polynomials and time ordered products of quantum fields in curved spacetime

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