QCD Effective Coupling in the Infrared Region

Abstract

We estimate the QCD effective charge ${\alpha }_s$ in the low-energy region by exploiting the conventional meson spectrum within a relativistic quantum-field model based on analytic confinement. The ladder Bethe-Salpeter equation is solved for the masses of two-quark bound states. We found a new, independent and specific infrared-finite behavior of QCD coupling below energy scale 1 GeV. Particularly, an infrared-fixed point is extracted at ${\alpha }_s(0)\simeq 0.757$ for confinement scale $\Lambda =345$ MeV. As an application, we estimate masses of some intermediate and heavy mesons and obtain results in reasonable agreement with recent experimental data.

16 pages, 5 figures, 2 tables

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• Electron-positron annihilation into hadrons at the higher-loop levels
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• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• Inclusive tau lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD
• Exploration of trace anomaly contribution to proton mass based on light vector meson photoproduction
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• Flavor Dependent Effects on Rare Weak Decays of $B_c^{\ast }$ and $B_s^{\ast }$ Mesons