Hadronic Form Factors in Asymptotically Free Field Theories

Abstract

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 $q^2$.