How quark hadron duality in QCD may work

Abstract

We pursue the issue of the local quark-hadron duality at high energies in two- and four-dimensional QCD. A mechanism of the dynamical realization of the quark-hadron duality in two-dimensional QCD in the limit of large number of colors, $N_c \to \infty$, (the ' t Hooft model) is investigated. We argue that a similar mechanism of dynamical smearing may be relevant in four-dimensional QCD. Although particular details of our results are model-dependent (especially in the latter case), the general features of the duality implementation conjectured previously get further support.