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

C. J. Maxwell

hep-pharXiv:hep-ph/0610183

Abstract

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 Q2=Λ2 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 Q2=Λ2, and a smooth freezing as Q2 decreases to 0.

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