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Lattice measurements of nonlocal quark condensates, vacuum correlation length, and pion distribution amplitude in QCD

A. P. Bakulev·S. V. Mikhailov
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Abstract

Recent data of lattice measurements of the gauge-invariant nonlocal scalar quark condensates are analyzed to extract the short--distance correlation length, 1/λ_q, and to construct an admissible Ansatz for the condensate behaviour in a coordinate space. The correlation length values for both the quenched and full-QCD cases appear in a good agreement with the well-known QCD SR estimates of the mixed quark-gluon condensate, 2 λ_q^2 = <\bar{q}(igσ^{μν}G_{μν})q>/<\bar{q}q> = 0.8 - 1.1 GeV^2. We test two different Ansatzes for a nonlocal quark condensate and trace their influence on the twist-2 pion distribution amplitude by means of QCD SRs. The main features of the pion distribution amplitude are confirmed by the CLEO experimental results.

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A. P. Bakulev, S. V. Mikhailov. 2002-03-14. Lattice measurements of nonlocal quark condensates, vacuum correlation length, and pion distribution amplitude in QCD. https://doi.org/10.1103/physrevd.65.114511

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