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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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15 pages in LaTeX_2E with package amsmath; 6 color figures as EPS files use package graphics; 4 tables; minor style+pagesize c

Scientific paper

10.1103/PhysRevD.65.114511

Recent data of lattice measurements of the gauge-invariant nonlocal scalar quark condensates are analyzed to extract the short--distance correlation length, 1/\lambda_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 \lambda_q^2 = <\bar{q}(ig\sigma^{\mu\nu}G_{\mu\nu})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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