Virtualities of Quarks and Gluons in QCD Vacuum and Nonlocal Condensates within Single Instanton Approximation

Physics – High Energy Physics – High Energy Physics - Phenomenology

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12 pages, LATEX, no figures. Revised version contains two formulae corrected and references updated

Scientific paper

10.1103/PhysRevD.56.4062

We calculate the lowest-dimensional nonlocal quark and gluon condensates within the single instanton approximation of the instanton liquid model. As a result, we determine the values of average virtualities of quarks $\lambda_q^2$ and gluons $\lambda_g^2$ in the QCD vacuum and obtain parameterless predictions for the ratio $\lambda_g^2/\lambda_q^2 = 12/5$, and for some ratios of different vacuum condensates of higher dimensions. The nonlocal properties of quark and gluon condensates are analyzed, and insufficiency of the single instanton approximation is discussed.

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