Scaling algebras for charged fields and short-distance analysis for localizable and topological charges
Abstract
The method of scaling algebras, which has been introduced earlier as a means for analyzing the short-distance behaviour of quantum field theories in the setting of the model-independent, operator-algebraic approach, is extended to the case of fields carrying superselection charges. In doing so, consideration will be given to strictly localizable charges ("DHR-type" superselection charges) as well as to charges which can only be localized in regions extending to spacelike infinity ("BF-type" superselection charges). A criterion for the preservance of superselection charges in the short-distance scaling limit is proposed. Consequences of this preservance of superselection charges are studied. The conjugate charge of a preserved charge is also preserved, and for charges of DHR-type, the preservance of all charges of a quantum field theory in the scaling limit leads to equivalence of local and global intertwiners between superselection sectors.
Keywords
Cite
@article{arxiv.math-ph/0307048,
title = {Scaling algebras for charged fields and short-distance analysis for localizable and topological charges},
author = {Claudio D'Antoni and Gerardo Morsella and Rainer Verch},
journal= {arXiv preprint arXiv:math-ph/0307048},
year = {2009}
}
Comments
Latex 2e, 57 pages. Supersedes hep-th/0301145