A nonperturbative model for the strong running coupling within potential approach

Abstract

A nonperturbative model for the QCD invariant charge, which contains no low-energy unphysical singularities and possesses an elevated higher loop corrections stability, is developed in the framework of potential approach. The static quark-antiquark potential is constructed by making use of the proposed model for the strong running coupling. The obtained result coincides with the perturbative potential at small distances and agrees with relevant lattice simulation data in the nonperturbative physically-relevant region. The developed model yields a reasonable value of the QCD scale parameter, which is consistent with its previous estimations obtained within potential approach.

14 pages, 4 figures

References in corpus (26)

• QCD and a Holographic Model of Hadrons
• The four-loop beta-function in Quantum Chromodynamics
• QCD forces and heavy quark bound states
• The three-loop QCD $\beta$-function and anomalous dimensions
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• Heavy-Quark Potentials and AdS/QCD
• The static quark-antiquark potential in QCD to three loops
• Static potentials and glueball masses from QCD simulations with Wilson sea quarks
• The static potential in QCD - a full Two-Loop Calculation
• Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
• Rigourous QCD Evaluation of Spectrum and Ground State Properties of Heavy Quarkonium Systems; with a Precision Determination of the bottom quark mass and of the eta-b mass
• Ten years of the Analytic Perturbation Theory in QCD
• Analytic Invariant Charge in QCD
• Quark-antiquark potential in the analytic approach to QCD
• The Cornell Potential from General Geometries in AdS / QCD
• Hadron Spectroscopy and Structure from AdS/CFT
• New analytic running coupling in spacelike and timelike regions
• Rigourous QCD Evaluation of Spectrum and Other Properties of Heavy Quarkonium Systems; II Bottomium with n=2, l=0,1
• Infrared enhanced analytic coupling and chiral symmetry breaking in QCD
• Heavy quark potential in the static limit of QCD
• Analyticity and Minimality of Nonperturbative Contributions in Perturbative region for ${\bar{\alpha }}_s$
• A lattice potential investigation of quark mass and volume dependence of the ${\rm Y}$ spectrum
• How Well Does AdS/QCD Describe QCD?
• Nonperturbative aspects of the QCD analytic invariant charge
• An Invariant Charge Model for All q^2>0 in QCD and Gluon Condensate
• Analytic invariant charge and the lattice static quark-antiquark potential

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