On scale violation in e-p and μ-p scattering

Abstract

We develop the quantization procedure of Yang-Mills fields based on the notion of Feynman path integral formalism. Using the Faddeev-Popov trick in Coulomb gauge we obtain the Feynman rules for quantum chrodynamics. Theough Wilson operator product expansion and the Callan-Symanzik renormalization group equations we analyze electroproduction in nonAbelian gauge model of the strong interactions using the techniques of Christ, Hasslauher, and Mueller. Here the Bjorken scaling law is deviated by logarithmic factors. We compare our analysis with the SLAC e-p data and the recent Fermilab $\mu$-p data the agreement is almost good.