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VOLUME 57 (1993) | ISSUE 9 | PAGE 513
Asymptotic freedom at large distances and the IR renormalon problem
Perturbation theory is formulated in the confining background field Βμ. All diagrams are gauge invariant and at a large Nc limit depend on Βμ only through the Wilson loops Ψ{€>Βμ). Assuming the area law for the latter one obtains the charge renormalization at large distances, which yields the behavior as(p) ~47r[ln(/?2 + m2)/(A2)]"1, where m is a process-dependent mass on the order of 1 GeV. For m>A the asymptotic freedom then persists for all Euclidean monenta, and IR renormalons are shown to disappear.