Bjorken Scaling and Structure-Function Relations in Perturbation Theory

Abstract

We calculate in the leading-logarithm approximation to perturbation theory the complete set of structure functions for inelastic electron, neutrino, and antineutrino scattering on proton and neutron targets. This extends our previous calculations of the $\nu W_2$ function of inelastic electron-proton scattering. The Lagrangian studied is that of the neutral-vector-gluon model - equivalently, massive quantum electrodynamics. We find that, in spite of the logarithmic breakdown of Bjorken scaling which generally occurs in renormalizable field theories, all the structure-function relations and sum rules of the parton model and formal light-cone algebra are satisfied to leading-logarithmic accuracy in the theory we study.