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We analyse a class of quantum field theory models illustrating some of thepossibilities that have emerged in the general study of the short distanceproperties of superselection sectors, performed in a previous paper (togetherwith R. Verch). In particular, we show that for each pair (G, N), with G acompact Lie group and N a closed normal subgroup, there is a net of observablealgebras which has (a subset of) DHR sectors in 1-1 correspondence with classesof irreducible representations of G, and such that only the sectorscorresponding to representations of G/N are preserved in the scaling limit. Inthe way of achieving this result, we derive sufficient conditions under whichthe scaling limit of a tensor product theory coincides with the product of thescaling limit theories.Comment: 28 pages, typos corrected, minor explanations and changes adde

SCALING ALGEBRAS AND SUPERSELECTION SECTORS: STUDY OF A CLASS OF MODELS