Bound state approach to the QCD coupling at low energy scales

Abstract

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 α_s^{exp}(Q^2) below 1 GeV by comparison with the data. Our results for α_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.

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

References in corpus (5)

• Ten years of the Analytic Perturbation Theory in QCD
• Decay constants of the heavy-light mesons from the field correlator method
• Extracting infrared QCD coupling from meson spectrum
• Practical techniques of analytic perturbation theory of QCD
• On the Fourier transformation of Renormalization Invariant Coupling

Cited by in corpus (6)

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• QCD coupling below 1 GeV from quarkonium spectrum
• On the low-energy behavior of the Adler function
• Yang-Mills Propagators and QCD
• Adler function in the analytic approach to QCD
• The self-dual gauge fields and the domain wall fermion zero modes