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

C. J. Maxwell
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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 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.

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C. J. Maxwell. 2006-10-15. Infrared freezing of Euclidean QCD observables in the one-chain approximation. https://arxiv.org/abs/hep-ph/0610183

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