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Recent data from lattice measurements of gauge-invariant nonlocal scalar quark condensates are analyzed to extract the short-distance correlation length 1/λq and to construct an admissible Ansatz for the condensate behavior in a coordinate space. The correlation length values for both the quenched and full-QCD cases appear in good agreement with the well-known QCD sum-rule (SR) estimates of the mixed quark-gluon condensate 2λq²=〈q̄(igσ_μνG_μν)q〉/〈q̄q〉=0.8--1.1GeV². We test two different Ans\"atze for a nonlocal quark condensate and trace their influence on the twist-2 pion distribution amplitude by means of QCD SR's. The main features of the pion distribution amplitude are confirmed by the CLEO experimental results.
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Bakulev et al. (2002) studied this question.
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