Antilocality and a Reeh-Schlieder theorem on manifolds

DOI10.1007/BF00750307zbMath0798.58065MaRDI QIDQ2368141

Rainer Verch

Publication date: 26 October 1994

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

zbMATH Keywords

quantum field theoryReeh-Schlieder theoremantilocality

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (19)

On some partial data Calderón type problems with mixed boundary conditions ⋮ On the Reeh-Schlieder property in curved spacetime ⋮ The split property for quantum field theories in flat and curved spacetimes ⋮ Microlocal analysis of quantum fields on curved space–times: Analytic wave front sets and Reeh–Schlieder theorems ⋮ Quantum physics, fields and closed timelike curves: the D-CTC condition in quantum field theory ⋮ Semi-bounded restrictions of Dirac type operators and the unique continuation property ⋮ On (global) unique continuation properties of the fractional discrete Laplacian ⋮ The split property for locally covariant quantum field theories in curved spacetime ⋮ Quantum field theories in classical spacetimes and particles ⋮ Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces ⋮ Continuity of Symplectically Adjoint Maps and the Algebraic Structure of Hadamard Vacuum Representations for Quantum Fields on Curved Spacetime ⋮ Entanglement, space-time and the Mayer-Vietoris theorem ⋮ Weakly coupled local particle detectors cannot harvest entanglement ⋮ Algebraic Quantum Field Theory in Curved Spacetimes ⋮ On two methods for quantitative unique continuation results for some nonlocal operators ⋮ Strong unique continuation for the higher order fractional Laplacian ⋮ Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime ⋮ On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols ⋮ The 𝒫(𝜑)₂ Model on de Sitter Space

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