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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
9/2004

Scaling algebras for charged fields and short-distance analysis for localizable and topological charges

Claudio D'Antoni, Gerardo Morsella and Rainer Verch

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, opertor-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 lead to equivalence of local and global intertwiners between superselection sectors.

Received:
Mar 3, 2004
Published:
Mar 3, 2004
MSC Codes:
81T05
Keywords:
renormalization group, algebraic quantum field theory, charge confinement

Related publications

inJournal
2004 Repository Open Access
C D'Antoni, Gerardo Morsella and Rainer Verch

Scaling algebras for charged fields and short-distance analysis for localizable and topological charges

In: Annales Henri Poincaré, 5 (2004) 5, pp. 809-870