  We present a new viewpoint on the construction of pointlike local fields in
integrable models of quantum field theory. As usual, we define these local
observables by their form factors; but rather than exhibiting their $n$-point
functions and verifying the Wightman axioms, we aim to establish them as closed
operators affiliated with a net of local von Neumann algebras, which is defined
indirectly via wedge-local quantities. We also investigate whether these fields
have the Reeh-Schlieder property, and in which sense they generate the net of
algebras. Our investigation focuses on scalar models without bound states. We
establish sufficient criteria for the existence of averaged fields as closable
operators, and complete the construction in the specific case of the massive
Ising model.
