QCD potential as a “Coulombpluslinear” potential
Abstract
We show analytically that the QCD potential can be expressed, up to an O(Λ_{QCD}^{3}r^{2}) uncertainty, as the sum of a “Coulomb” potential (with log corrections at short distances) and a linear potential, within an approximation based on perturbative expansion in α_{S} and the renormalon dominance picture. The expansion of V_{QCD}(r) is truncated at O(α_{S}^{N}) (N=6π/(β_{0}α_{S})), where the term becomes minimal according to the estimate by NLO renormalon, and is studied for N≫1. Analytic expressions for the linear potential are obtained in some cases.
 Publication:

Physics Letters B
 Pub Date:
 October 2003
 DOI:
 10.1016/j.physletb.2003.05.010
 arXiv:
 arXiv:hepph/0303120
 Bibcode:
 2003PhLB..571..173S
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 Version to appear in Phys.Lett.B