  We introduced in a previous paper a general notion of asymptotic morphism of
a given local net of observables, which allows to describe the sectors of a
corresponding scaling limit net. Here, as an application, we illustrate the
general framework by analyzing the Schwinger model, which features confined
charges. In particular, we explicitly construct asymptotic morphisms for these
sectors in restriction to the subnet generated by the derivatives of the field
and momentum at time zero. As a consequence, the confined charges of the
Schwinger model are in principle accessible to observation. We also study the
obstructions, that can be traced back to the infrared singular nature of the
massless free field in d=2, to perform the same construction for the complete
Schwinger model net. Finally, we exhibit asymptotic morphisms for the net
generated by the massive free charged scalar field in four dimensions, where no
infrared problems appear in the scaling limit.
