# Scaling Algebras and Superselection Sectors: Study of a Class of Models

November 25, 2005

We analyse 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.

open access link
Rev.Math.Phys.18:565-594,2006; Erratum-ibid.19:567-569,2007

@article{DAntoni:2005htl,
author = "D'Antoni, Claudio and Morsella, Gerardo",
title = "{Scaling algebras and superselection sectors: Study of a
class of models}",
journal = "Rev. Math. Phys.",
volume = "18",
year = "2006",
pages = "565-594",
doi = "10.1142/S0129055X06002723, 10.1142/S0129055X07003048",
note = "[Erratum: Rev. Math. Phys.19,567(2007)]",
eprint = "math-ph/0511072",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = MATH-PH/0511072;%%"
}

Keywords:

scaling limits, Superselection Theory