Infrared freezing of Euclidean QCD observables in the one-chain approximation

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We consider the one-chain term in a skeleton expansion for Euclidean QCD observables. Focusing on the particular example of the Adler D function, we show that although there is a Landau pole in the coupling at Q^2=Λ^2 which renders fixed-order perturbative results infinite, the Landau pole is absent in the all-orders one-chain result. In this approximation one has finiteness and continuity at Q^2=Λ^2, and a smooth freezing as Q^2 decreases to 0.
4 pages, presented at the XXXIII International Conference on High Energy Physics (ICHEP06), Moscow, Russia, 26 July-2 August 2006

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