MODULAR CONSTRUCTIONS OF QUANTUM FIELD THEORIES WITH INTERACTIONS

DOI10.1142/S0129055X00000113zbMath1044.81087arXivhep-th/9812251MaRDI QIDQ4519834

Hans-Werner Wiesbrock, Bert Schroer

Publication date: 4 December 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9812251

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (13)

LOOKING BEYOND THE THERMAL HORIZON: HIDDEN SYMMETRIES IN CHIRAL MODELS ⋮ On the generator of massive modular groups ⋮ \(SO(d,1)\)-invariant Yang-Baxter operators and the dS/CFT correspondence ⋮ Deformations of quantum field theories and integrable models ⋮ Asymptotic completeness in a class of massless relativistic quantum field theories ⋮ Towards an operator-algebraic construction of integrable global gauge theories ⋮ Particle physics and quantum field theory at the turn of the century: Old principles with new concepts ⋮ Inverse scattering and local observable algebras in integrable quantum field theories ⋮ Localization in nets of standard spaces ⋮ Modular wedge localization and the \(d=1+1\) formfactor program ⋮ Construction of quantum field theories with factorizing S-matrices ⋮ Towards an explicit construction of local observables in integrable quantum field theories ⋮ Characterization of local observables in integrable quantum field theories

Cites Work

• Extensions of conformal nets and superselection structures
• Quantum double actions on operator algebras and orbifold quantum field theories
• Conditional expectations in von Neumann algebras
• On the self-adjointness of field operators
• Modular wedge localization and the \(d=1+1\) formfactor program

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