Nonlocal light-cone expansions and evolution equations

Abstract

A new variant of the nonlocal light-cone expansion in QCD is proposed. The anomalous dimension of the corresponding fermion flavour nonsinglet operator is calculated in the one-loop approximation and shown to coincide (up to a trivial diagonal factor) with the Brodsky-Lepage kernel. The connection of our approach with the standard local conformal light-cone expansion is briefly discussed. An exclusive light-cone dominated process is considered within the framework of our formalism. The evolution equation obtained earlier by different methods is recovered in a particularly straightforward and compact manner.