We show analytically that the QCD potential can be expressed, up to an O(ΔQCD3r2) 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 αS and the renormalon dominance picture. The expansion of VQCD(r) is truncated at O(αSN) (N = 6π/(β0αS)), 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.
|Number of pages||11|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - 2003 Oct 9|
ASJC Scopus subject areas
- Nuclear and High Energy Physics