English

Relations between vacuum condensates and low energy parameters from a rational approach

High Energy Physics - Phenomenology 2010-04-23 v1

Abstract

Conventional methods to determine non-perturbative parameters in QCD, such as the different variants of QCD sum rules or the minimal hadronic approximation, combine a certain degree of matching to QCD with inputs from hadronic parameters. The latter introduce systematic errors difficult to quantify. In this paper I will apply a method based on rational approximant theory where matching is maximized and no hadronic inputs are used, thereby leading to simple analytical relations between high and low energy parameters. I will be mostly interested in the phenomenological applications to the \Pi_{LR} and \Pi_{VT} correlators, with especial emphasis on quantities like the d=6 and d=8 vacuum condensates in \Pi_{LR} or the quark condensate magnetic susceptibility \chi_0.

Keywords

Cite

@article{arxiv.0911.4736,
  title  = {Relations between vacuum condensates and low energy parameters from a rational approach},
  author = {O. Cata},
  journal= {arXiv preprint arXiv:0911.4736},
  year   = {2010}
}

Comments

14 pages, 1 figure