Mesons in non-local chiral quark models

After briefly reviewing chiral quark models with non-local regulators and listing their advantages over the conventional Nambu-Jona-Lasionio-like models, we study vector meson correlators in both types of approaches. Since effective chiral quark models are valid in the Eulidean domain only, with -0.5 GeV2≤q2≤0, in our study the meson correlators are not described directly, but with help of a method based on dispersion relations for the physical correlators. A set of sum rules is derived, which allows for a comparison of model predictions to data. We find that both the local and non-local models fail to satisfy the sum rules, unless very low values of the constituent quark mass parameter are used. We also show that the two Weinberg sum rules hold in the non-local model