4.7 Article

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

Journal

PHYSICAL REVIEW D
Volume 81, Issue 5, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.81.054011

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Conventional methods to determine nonperturbative 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 special emphasis on quantities like the d = 6 and d = 8 vacuum condensates in Pi(LR) or the quark condensate magnetic susceptibility chi(0).

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