We analyze a class of quantum field theory models illustrating some of the possibilities that have emerged in the general study of the short distance properties of superselection sectors, performed in a previous paper (together with R. Verch). In particular, we show that for each pair (G,N), with G a compact Lie group and N a closed normal subgroup, there is a net of observable algebras which has (a subset of) DHR sectors in 1-1 correspondence with classes of irreducible representations of G, and such that only the sectors corresponding to representations of G/N are preserved in the scaling limit. In the way of achieving this result, we derive sufficient conditions under which the scaling limit of a tensor product theory coincides with the product of the scaling limit theories.
D'Antoni, C., & Morsella, G. (2006). Scaling algebras and superselection sectors: Study of a class of models. REVIEWS IN MATHEMATICAL PHYSICS, 18(5), 565-594.
Tipologia: | Articolo su rivista |
Citazione: | D'Antoni, C., & Morsella, G. (2006). Scaling algebras and superselection sectors: Study of a class of models. REVIEWS IN MATHEMATICAL PHYSICS, 18(5), 565-594. |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S0129055X06002723 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2006 |
Titolo: | Scaling algebras and superselection sectors: Study of a class of models |
Autori: | |
Autori: | D'Antoni, C; Morsella, G |
Appare nelle tipologie: | 01 - Articolo su rivista |