We consider a specific generalization to spatial dimensions d greater than
one of a formalism, based upon conservation laws and the associated Ward id
entities, that exactly solves the one-dimensional Luttinger model, and expo
se its inadequacies for d>1. We conclude that findings arrived at through a
pplication of this generalized formalism concerning systems of fermions wit
h strong forward scattering, in particular that d=1 would be the cross-over
dimension from Luttinger- to Fermi-liquid state, are open to question.