Light-Cone Behavior of Perturbation Theory

A technique introduced by Symanzik is used to derive a series of equations obeyed order by order in perturbation theory by the structure functions W₁ and νW₂ entering the cross section for inelastic electron scattering. These equations relate the q², ν, and coupling-constant dependence of W₁ and νW₂ in a manner reminiscent of the renormalization-group results of Gell-Mann and Low. The equations are used to compute the leading logarithmic contribution to νW₂ in a theory of fermions coupled to pseudoscalar particles and a theory of fermions coupled to vector particles.