Running coupling constant of background perturbation theory and lattice interquark interaction

Details Running coupling constant of background perturbation theory and lattice interquark interaction Running coupling constant of background perturbation theory and lattice interquark interaction

1997-04-07

arxiv.org/abs/hep-lat/9704004v1

Phys.Atom.Nucl. 60 (1997) 1003-1010

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, LaTeX 2e, submitted to Phys.Lett.B

Scientific paper

The conventional parametrizations of lattice static interquark force are shown to produce a mismatch of coupling constant near the matching point R_m \approx 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 \la R \la 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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