Space-time fields and exchange fields
type: Item
instance of: scholarly article
title: Space-time fields and exchange fields
zbMATH Open document ID: 0705.47056
DOI: 10.1007/BF02096658
author: Karl-Henning Rehren
published in: Communications in Mathematical Physics
publication date: 1990-01-01T00:00:00Z
review text: Unusual commutation rules, i.e., socalled ``exchange algebra relations'' (EAR), among relativistic quantum fields in two space-time dimensions lead to a new type of statistics involving braid groups. This work studies quantum fields with conventional commutation rules which, by virtue of conformal invariance, can be expressed as sums over light-cone fields satisfying EAR. Discrete symmetries related to charge conjugation and outer automorphisms of the net of local algebras are obtained and implications on the structure of superselection sections are discussed. The setting for this study is the Doplicher-Haag-Roberts theory with its stress on the role of local morphisms (in terms of physics: local charges) and the statistics operator of product morphisms.
Mathematics Subject Classification ID: 47N50
Mathematics Subject Classification ID: 81S05
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 4157335
zbMATH Keywords: commutation rules
zbMATH Keywords: exchange algebra relations
zbMATH Keywords: relativistic quantum fields in two space-time dimensions
zbMATH Keywords: braid groups
zbMATH Keywords: quantum fields with conventional commutation rules
zbMATH Keywords: conformal invariance
zbMATH Keywords: Doplicher-Haag- Roberts theory
zbMATH Keywords: local morphisms
zbMATH Keywords: local charges
zbMATH Keywords: statistics operator of product morphisms
reviewed by: Gert Roepstorff
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4157335