QCD potential as a "Coulomb-plus-linear" potential
Abstract
We show analytically that the QCD potential can be expressed, up to an O(LambdaQCD3 r2) 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 alphaS and the renormalon dominance picture. The expansion of VQCD(r) is truncated at O(alphaSN) [N = 6 pi/(beta0 alphaS)], 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.
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