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Parton-Hadron duality in QCD sum rules: quantum mechanical examples

B. Blok·M. Lublinsky
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Abstract

Motivated by recent work on three-point QCD sum rules in heavy quark physics, we use the simple quantum mechanical models to study the basic issue of duality in three-point sum rules. We show that while in all of these models the duality in two-point sum rules works fine, the duality in three-point sum rules may be 100%- violated, leading to completely unreliable predictions for the matrix elements in question. The implications for three-point QCD sum rules are discussed. A new estimate for the parameter $λ_1$ of HQET is given.

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B. Blok, M. Lublinsky. 1998-03-05. Parton-Hadron duality in QCD sum rules: quantum mechanical examples. https://doi.org/10.1103/physrevd.57.2676%2010.1103%2Fphysrevd.58.019903

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