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arxiv: 1407.4967 · v1 · pith:6Q3JHV6Inew · submitted 2014-07-18 · ✦ hep-ph

QCD sum rules for the nucleon and the non-locality of quark condensates

classification ✦ hep-ph
keywords instantonnon-localitynucleonquarkrulesaffectedapproximationborel
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We emphasize the role of the x dependence of the quark condensate <|\bar q(0)q(x)|> originated by the zero fermion modes in the instanton vacuum. The effect is not negligible since the inverse size of the instanton 1/\rho~600MeV is comparable with the value of Borel mass M~1GeV. Using as an example the sum rules for the nucleon we show that this "non-locality" may strongly affected the conventional results obtained under the <|\bar q(0)q(x)|>=<|\bar q(0)q(0)|> approximation.

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