  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.
