Translation group and modular automorphisms for local regions

DOI10.1007/BF02278007zbMath0717.46057OpenAlexW2029945218MaRDI QIDQ2638487

Hans-Jürgen Borchers

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02278007

zbMATH Keywords

energyunitary representationanalytic continuationstatistical mechanicsmodular automorphism grouplocal quantum field theoryedge of the wedge theoremAraki-Haag-Kastler frameworkdouble-cones in space-timemodular property for one-parameter subgroups of the space-time-translations in field theoryPoincaré-group

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Equilibrium statistical mechanics (82B99) Applications of functional analysis in quantum physics (46N50)

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Cites Work

• Causal independence and the energy-level density of states in local quantum field theory
• On the modular structure of local algebras of observables
• On the existence of equilibrium states in local quantum field theory
• Modular structure of the local algebras associated with the free massless scalar field theory
• Nuclear maps and modular structures. II: Applications to quantum field theory
• On the converse of the Reeh-Schlieder theorem
• Tomita's theory of modular Hilbert algebras and its applications
• Proof of Dispersion Relations in Quantized Field Theories
• Bemerkungen zur unitäräquivalenz von lorentzinvarianten feldern
• On the duality condition for a Hermitian scalar field