Superselection sectors in low dimensional quantum field theory
type: Item
instance of: scholarly article
title: Superselection sectors in low dimensional quantum field theory
zbMATH Open document ID: 0794.46054
DOI: 10.1016/0393-0440(93)90062-J
published in: Journal of Geometry and Physics
publication date: 1993-12-06T00:00:00Z
review text: The author reviews the recent results on the structure of superselection sectors obtained in the framework of algebraic quantum field theory. The occurrence of braid group statistics in low dimensions and soliton sectors in two dimensions are described.
reviewed by: Robert Alicki
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 81T05
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 20F36
Mathematics Subject Classification ID: 81T10
zbMATH DE Number: 436580
zbMATH Keywords: structure of superselection sectors
zbMATH Keywords: algebraic quantum field theory
zbMATH Keywords: braid group statistics in low dimensions
zbMATH Keywords: soliton sectors in two dimensions
author: Klaus Fredenhagen
MaRDI profile type: Publication
cites work: Q4023625
cites work: FROM QUANTUM FIELDS TO LOCAL VON NEUMANN ALGEBRAS
cites work: An Algebraic Approach to Quantum Field Theory
cites work: Local rings and the connection of spin with statistics
cites work: Fields, observables and gauge transformations. II
cites work: Postulates of Quantum Field Theory
cites work: A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field
cites work: Von Neumann Algebras of Local Observables for Free Scalar Field
cites work: A NEW LOOK AT GOLDSTONE’S THEOREM
cites work: On the duality condition for a Hermitian scalar field
cites work: Index of subfactors and statistics of quantum fields. II: Correspondences, braid group statistics and Jones polynomial
cites work: Index for subfactors
cites work: Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
cites work: Locality and the structure of particle states
cites work: Infinite conformal symmetry in two-dimensional quantum field theory
cites work: The current algebra on the circle as a germ of local field theories
cites work: BRAID STATISTICS IN LOCAL QUANTUM THEORY
cites work: Superselection sectors with braid group statistics and exchange algebras
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description: scientific article; zbMATH DE number 436580