English

Running coupling constant of background perturbation theory and lattice interquark interaction

High Energy Physics - Lattice 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-lat/9704004,
  title  = {Running coupling constant of background perturbation theory and lattice interquark interaction},
  author = {A. M. Badalian},
  journal= {arXiv preprint arXiv:hep-lat/9704004},
  year   = {2007}
}

Comments

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