Asymptotic morphisms and superselection theory in the scaling limit

DOI10.4171/JNCG/169zbMath1305.81104arXiv1205.6380OpenAlexW2962938288MaRDI QIDQ470338

Gerardo Morsella, Roberto Conti

Publication date: 12 November 2014

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6380

zbMATH Keywords

noncommutative geometryquantum field theorysuperselection sectorsasymptotic morphismlocal net of operator algebrasscaling algebrascaling limit states

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Noncommutative geometry methods in quantum field theory (81T75) Applications of selfadjoint operator algebras to physics (46L60) Kasparov theory ((KK)-theory) (19K35) Noncommutative geometry (à la Connes) (58B34)

Related Items (max. 100)

Asymptotic morphisms and superselection theory in the scaling limit. II. Analysis of some models

Cites Work

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• Scaling limit for subsystems and Doplicher-Roberts reconstruction
• On dilation symmetries arising from scaling limits
• Scaling algebras for charged fields and short-distance analysis for localizable and topological charges
• Standard and split inclusions of von Neumann algebras
• Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
• Spectral triples and the super-Virasoro algebra
• Local aspects of superselection rules
• \(W^ *\)-categories
• Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
• Quantum K-theory. I: The Chern character
• Asymptotic spectral measures, quantum mechanics, and \(E\)-Theory
• The quantum structure of spacetime of the Planck scale and quantum fields
• Quarks, gluons, colour: Facts or fiction?
• Representations of conformal nets, universal \(C^*\)-algebras and \(K\)-theory
• Algebraic supersymmetry: a case study
• Scaling algebras and pointlike fields. A nonperturbative approach to renormalization
• ERRATUM: "SCALING ALGEBRAS AND SUPERSELECTION SECTORS: STUDY OF A CLASS OF MODELS"
• Scaling Algebras and Renormalization Group in Algebraic Quantum Field Theory.
• Equivariant 𝐸-theory for 𝐶*-algebras
• SCALING ALGEBRAS AND RENORMALIZATION GROUP IN ALGEBRAIC QUANTUM FIELD THEORY
• Notes for a quantum index theorem

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