On the Practical Application of Physical Anomalous Dimensions

We revive the idea of using physical anomalous dimensions in the QCD scale evolution of deep-inelastic structure functions and their scaling violations and present a detailed phenomenological study of its applicability. Differences with results obtained in the conventional framework of scale-dependent quark and gluon densities are discussed and traced back to the truncation of the perturbative series at a given order in the strong coupling.