Running coupling constant of background perturbation theory and lattice interquark interaction
A. M. Badalian
Abstract
The conventional parametrizations of lattice static interquark force are shown to produce a mismatch of coupling constant near the matching point Rm ≈ 0.2 fm. The running coupling constant of the background perturbation theory yields instead a selfconsistent description of lattice data over all interval of distances, 0.05 fm R 1.1.fm, and is an analytic function with the property of asymptotic freedom at small R and it is freezing at large R.
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