English

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

High Energy Physics - Phenomenology 2014-11-17 v2

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 λ1\lambda_1 of HQET is given.

Keywords

Cite

@article{arxiv.hep-ph/9706484,
  title  = {Parton-Hadron duality in QCD sum rules: quantum mechanical examples},
  author = {B. Blok and M. Lublinsky},
  journal= {arXiv preprint arXiv:hep-ph/9706484},
  year   = {2014}
}

Comments

31 pages, 19 figures. Several references are added. Several typos and minor numerical mistakes are corrected. None of new changes alters any result of the paper