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Running coupling at low momenta, renormalization schemes, and renormalons

  • Elementary Particles and Fields
  • Theory
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Abstract

We propose a method for summing a perturbation-theory asymptotic series that is related to infrared (IR) renormalons in QCD using special renormalization schemes in which the running coupling constant can be integrated over the small momenta. For our method to work, we should consider higher order perturbation-theory corrections to the standard bubble-chain diagrams. High-order corrections allow one to choose a scheme in which the coupling-constant evolution can be smoothly extrapolated to low momenta. In these schemes, the sum of an (extended) IR-renormalon asymptotic series is defined as an integral of the running coupling constant over the IR region. We present explicit examples of renormalization schemes of QCD that can be used to sum IR-renormalon asymptotic series according to our definition.

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Authors and Affiliations

  1. Institute for Nuclear Research, Russian Academy of Sciences, pr. Shestidesyatiletiya Oktyabrya 7a, Moscow, 117312, Russia

    N. V. Krasnikov & A. A. Pivovarov

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  1. N. V. Krasnikov
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  2. A. A. Pivovarov
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Additional information

From Yadernaya Fizika, Vol. 64, No. 8, 2001, pp. 1576–1583.

Original English Text Copyright © 2001 by Krasnikov, Pivovarov.

This article was submitted by the authors in English.

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Krasnikov, N.V., Pivovarov, A.A. Running coupling at low momenta, renormalization schemes, and renormalons. Phys. Atom. Nuclei 64, 1500–1507 (2001). https://doi.org/10.1134/1.1398943

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