Parton - hadron duality in QCD sum rules: Quantum mechanical examples Academic Article uri icon


  • 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 $\lambda_1$ of HQET is given.

publication date

  • January 1, 1998