Extracting infrared QCD coupling from meson spectrum

Abstract

In the framework of the Bethe-Salpeter formalism used in previous papers to evaluate the quarkonium spectrum, here we reverse the point of view to extract an ``experimental'' running coupling alpha_s(Q^2) in the infrared (IR) region from the data. The values so obtained agree within the errors with the Shirkov-Solovtsov analytic coupling for 200 MeV <Q< 1.2 GeV, thus giving a very satisfactory unifying description of high and low energy phenomena. Below 1 GeV however alpha_s(Q^2) seems to vanish as Q to 0. The paper is based on a work in progress in collaboration with D.V.Shirkov.

Talk given at 7th International Conference on Quark Confinement and the Hadron Spectrum, Azores - Portugal, 2-7 Sep 2006. To be published in AIP Conf.Proc

References in corpus (2)

• On the running coupling constant in QCD
• Analytic Perturbation Theory for Practitioners and Upsilon Decay

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