The method of scaling algebras, which has been introduced earlier as a means for analyzing the short-distance behavior 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.

D'Antoni, C., Morsella, G., Verch, R. (2004). Scaling algebras for charged fields and short-distance analysis for localizable and topological charges. ANNALES HENRI POINCARE', 5(5), 809-870 [10.1007/s00023-004-0183-7].

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

D'ANTONI, CLAUDIO;MORSELLA, GERARDO;
2004-01-01

Abstract

The method of scaling algebras, which has been introduced earlier as a means for analyzing the short-distance behavior 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.
2004
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
English
LOCAL OBSERVABLES; RENORMALIZATION-GROUP; QUANTUM-FIELDS; STATISTICS; SPACE; INVARIANCE; STATES; SPIN
D'Antoni, C., Morsella, G., Verch, R. (2004). Scaling algebras for charged fields and short-distance analysis for localizable and topological charges. ANNALES HENRI POINCARE', 5(5), 809-870 [10.1007/s00023-004-0183-7].
D'Antoni, C; Morsella, G; Verch, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/32862
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