Wigner representation theory of the Poincaré group, localization, statistics and the \(S\)-matrix

DOI10.1016/S0550-3213(97)00358-1zbMath0935.81041arXivhep-th/9608092OpenAlexW3121439785WikidataQ60306814 ScholiaQ60306814MaRDI QIDQ1362707

Bert Schroer

Publication date: 6 August 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9608092

zbMATH Keywords

scattering operatorHaag dualitycomplex Hilbert spaceTomita-Takesaki modular theoryinteraction free local algebra netslow-dimensional quantum field theoryTCP operator

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (11)

ON LOCALIZATION AND POSITION OPERATORS IN MÖBIUS-COVARIANT THEORIES ⋮ Modular localization and the bootstrap-formfactor program ⋮ Modular localization of massive particles with “any” spin in d=2+1 ⋮ Form factors, thermal states and modular structures ⋮ Wedge domains in non-compactly causal symmetric spaces ⋮ Antiunitary representations and modular theory ⋮ Nets of standard subspaces on Lie groups ⋮ Modular localization of elementary systems in the theory of Wigner ⋮ Modular wedge localization and the \(d=1+1\) formfactor program ⋮ Covariant homogeneous nets of standard subspaces ⋮ Modular origin of chiral diffeomorphisms and their fuzzy analogs in higher-dimensional quantum field theories

Cites Work

• Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
• Locality and the structure of particle states
• Motivations and physical aims of algebraic QFT
• A note on essential duality
• Modular localization and the bootstrap-formfactor program
• Index for subfactors
• Scattering states of plektons (particles with braid group statistics) in \(2+1\) dimensional quantum field theory
• Tomita's theory of modular Hilbert algebras and its applications
• Zero-mass infinite spin representations of the Poincaré group and quantum field theory
• Über die mannigfaltigkeit der interpolierenden felder zu einer kausalenS-Matrix
• Group Extensions and Cohomology for Locally Compact Groups. IV
• REMINISCENCES ABOUT MANY PITFALLS AND SOME SUCCESSES OF QFT WITHIN THE LAST THREE DECADES
• Zur Darstellungstheorie der inhomogenen Lorentzgruppe als Grundlage quantenmechanischer Kinematik
• Localized States for Elementary Systems
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