Scaling algebras for charged fields and short-distance analysis for localizable and topological charges
type: Item
instance of: scholarly article
title: Scaling algebras for charged fields and short-distance analysis for localizable and topological charges
zbMATH Open document ID: 1065.81084
author: Claudio D'Antoni
author: Gerardo Morsella
author: Rainer Verch
published in: Annales Henri Poincaré
publication date: 2004-12-16T00:00:00Z
full work available at URL: https://arxiv.org/abs/math-ph/0307048
review text: The method of scaling algebras introduced for analysis of the short-range behavior of quantum field theories is generalized to the case of fields carrying superselection charges, either strictly localizable (``DHR-type'' superselection charges) or those which can only be localized in the regions extending to spacelike infinity (``BF-type'' superselection charges). The criterion that specifies the meaning of that a charge superselection sector of the given quantum field theory is ``preserved'' in the scaling limit is proposed. It is shown that a superselection charge is preserved in the scaling limit if the corresponding conjugate charge is preserved as well. If particularly the DHR-type charges are preserved, the sets of local and global intertwiners for the superselection charges coincide.
Mathematics Subject Classification ID: 81T05
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 2123134
zbMATH Keywords: quantum field theory gauge group action scaling algebra superselection charge short-distance behavior scaling limit gauge symmetry intertwiner preservance of charge
reviewed by: Eugene Kryachko
MaRDI profile type: Publication
OpenAlex ID: W3102348166
arXiv ID: math-ph/0307048
DOI: 10.1007/S00023-004-0183-7
description: scientific article