Hadronic Form Factors in Asymptotically Free Field Theories

The breakdown of Bjorken scaling in asymptotically free gauge theories of the strong interactions is explored for its implications on the large-$q^2$ behavior of nucleon form factors. Duality arguments of Bloom and Gilman are invoked to relate the form-factor behavior to the threshold properties of deep inelastic structure functions. For very large $q^2$ the form factors are predicted to fall faster than any inverse power of $q^2$.