QCD sum rules for the nucleon and the non-locality of quark condensates
Abstract
We emphasize the role of the x dependence of the quark condensate <| 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/~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 <| q(0)q(x)|>=<| q(0)q(0)|> approximation.
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