
We show analytically that the QCD potential can be expressed, up to an O(Lambda_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 alpha_S and the renormalon dominance picture. The expansion of V_QCD(r) is truncated at O(alpha_S^N) [N = 6 pi/(beta_0 alpha_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.
Version to appear in Phys.Lett.B; Explanations on derivation added; Leading ultrasoft logs included in the analysis (Sec.5);12 pages,4 figures
High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Phenomenology, High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), perturbative expansion, High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, renormalon dominance picture, Strong interaction, including quantum chromodynamics
High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Phenomenology, High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), perturbative expansion, High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, renormalon dominance picture, Strong interaction, including quantum chromodynamics
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 41 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
