Moving poles in the scale-dimension plane and scaling violation

Abstract

We show that both scaling and its violation in deep-inelastic scattering can be understood in terms of the momentum-transfer-squared dependence of the pole position in the complex scale-dimension plane, the concept of which was introduced by us recently. Recent experimental data are consistent with six poles whose trajectories are parallel to each other rising linearly with lnq² in the region 2≤q²≤50 (GeVc)².