Nonlocality of quark condensates and pion wave function in QCD

A generalization of the QCD sum rules (SR) method for determination of the pion wave function Φπ(x) by introducing nonlocal quark condensates is suggested. The QCD SR for the Φπ(x) moments are shown to be rather sensitive to the form of the coordinate dependence of the distributions M(z2), Mμ(y, z)... Modified SR and possible anzatze for nonlocal condensates are obtained. For distributions with the width determined by the standard value λq2=0.4 GeV2 wave function Φπ(x) is found to be essentially different from that suggested by Chernyak and Zhitnitsky. The form of Φπ(x) is discussed