Modular theory and the reconstruction of four-dimensional quantum field theories

DOI10.1063/1.1327597zbMath1013.81033OpenAlexW2054293971MaRDI QIDQ2774646

R. Kahler, Hans-Werner Wiesbrock

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1327597

zbMATH Keywords

\(3+1\)-dimensional Poincaré groupBisognano-Wichmann representationmodular groups of von Neumann algebranet of local observables

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Axiomatic quantum field theory; operator algebras (81T05) Applications of functional analysis in quantum physics (46N50) Operator algebra methods applied to problems in quantum theory (81R15)

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Cites Work

• Symmetries and modular intersections of von Neumann algebras
• The CPT-theorem in two-dimensional theories of local observables
• Modular intersections of von Neumann algebras in quantum field theory
• Half-sided modular inclusions of von Neumann-algebras
• Half-sided modular inclusion and the construction of the Poincaré group
• Symmetries and half-sided modular inclusions of von Neumann algebras
• Bemerkungen zur unitäräquivalenz von lorentzinvarianten feldern
• On the duality condition for a Hermitian scalar field