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

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

2006-10-15

arxiv.org/abs/hep-ph/0610183v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, presented at the XXXIII International Conference on High Energy Physics (ICHEP06), Moscow, Russia, 26 July-2 August 2

Scientific paper

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=\Lambda^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=\Lambda^2, and a smooth freezing as Q^2 decreases to 0.

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