Bound state approach to the QCD coupling at low energy scales

Details Bound state approach to the QCD coupling at low energy scales Bound state approach to the QCD coupling at low energy scales

2007-05-02

arxiv.org/abs/0705.0329v2

Phys.Rev.Lett.99:242001,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revised version, to appear on Physical Review Letters. 7 pages, 2 figures, Revtex

Scientific paper

10.1103/PhysRevLett.99.242001

We exploit theoretical results on the meson spectrum within the framework of a Bethe-Salpeter (BS) formalism adjusted for QCD, in order to extract an ``experimental'' coupling \alpha_s^{exp}(Q^2) below 1 GeV by comparison with the data. Our results for \alpha_s^{exp}(Q^2) exhibit a good agreement with the infrared safe Analytic Perturbation Theory (APT) coupling from 1 GeV down to 200 MeV. As a main result, we claim that the combined BS-APT theoretical scheme provides us with a rather satisfactory correlated understanding of very high and low energy phenomena.

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