Summary
We try to extend the QCD sum rules for the two-point functions of the quark currents to the case of the pseudoscalar current of the «up» and «down» quarks. The essential ingredient is the coupling of this current to the instantons, whose effect is to make the sum rule more sensitive to the mass of the pion. A phenomenological approach to the problem yields an effective instanton Lagrangian which is consistent with the one required for reproducing quantitatively the ΔI=1/2 rule in the nonleptonic K-meson decay.
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Di Salvo, E. Instantons and the QCD sum rule for the pion. Nuov Cim A 104, 1–12 (1991). https://doi.org/10.1007/BF02822262
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DOI: https://doi.org/10.1007/BF02822262