The split property for locally covariant quantum field theories in curved spacetime
DOI10.1007/s11005-015-0798-2zbMath1330.81146arXiv1501.02682OpenAlexW3098538118MaRDI QIDQ902078
Publication date: 7 January 2016
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.02682
General theory of von Neumann algebras (46L10) Quantum field theory on curved space or space-time backgrounds (81T20) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Methods of quantum field theory in general relativity and gravitational theory (83C47)
Related Items (9)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Causal independence and the energy-level density of states in local quantum field theory
- Local aspects of superselection rules. II
- Subsystems and independence in relativistic microscopic physics
- Standard and split inclusions of von Neumann algebras
- On the Reeh-Schlieder property in curved spacetime
- Nuclearity, local quasiequivalence and split property for Dirac quantum fields in curved spacetime
- Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
- On the modular structure of local algebras of observables
- Local properties of equilibrium states and the particle spectrum in quantum field theory
- On Noether's theorem in quantum field theory
- Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
- The universal structure of local algebras
- Convergence of local charges and continuity properties of \(W^*\)- inclusions
- On the existence of equilibrium states in local quantum field theory
- Singularity structure of the two-point function in quantum field theory in curved spacetime. II
- Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime
- Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime
- The generally covariant locality principle -- a new paradigm for local quantum field theory
- Product states for local algebras
- Dynamical locality and covariance: what makes a physical theory the same in all spacetimes?
- Superposition, transition probabilities and primitive observables in infinite quantum systems
- Antilocality and a Reeh-Schlieder theorem on manifolds
- On the vacuum state in quantum field theory. II
- Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
- ENDOMORPHISMS AND AUTOMORPHISMS OF LOCALLY COVARIANT QUANTUM FIELD THEORIES
- The locality axiom in quantum field theory and tensor products of C*-algebras
- REMARKS ON THE REEH–SCHLIEDER PROPERTY FOR HIGHER SPIN FREE FIELDS ON CURVED SPACETIMES
- Introduction to Topological Manifolds
- Bemerkungen zur unitäräquivalenz von lorentzinvarianten feldern
- The Existence of Complete Riemannian Metrics
- Über die Vollständigkeit lorentzinvarianter Felder in einer zeitartigen Röhre
- ON THE INDEPENDENCE OF LOCAL ALGEBRAS IN QUANTUM FIELD THEORY
- The Reeh-Schlieder property for quantum fields on stationary spacetimes
- A spin-statistics theorem for quantum fields on curved spacetime manifolds in a generally covariant framework.
This page was built for publication: The split property for locally covariant quantum field theories in curved spacetime