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24 April 2024
 
  » arxiv » hep-ph/0407056

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Beta-Function in QCD and Gluon Condensate
A.I. Alekseev ; B.A. Arbuzov ;
Date 5 Jul 2004
Subject hep-ph
AbstractUnder assumption of singular behavior of alpha_s(q^2) at q^2 sim 0 and of large q^2 behavior, corresponding to the perturbation theory up to four loops, a procedure is considered of matching the beta-function at a boundary of perturbative and non-perturbative regions. The contribution of the non-perturbative region to the gluon condensate is calculated with varying normalization condition alpha_s(m_tau^2) = 0.29, 0.30,..., 0.36 for two different ways of definition of the non-perturbative invariant charge in the infrared region. We obtain quite consistent results for values of the gluon condensate, nonperturbative region scale q_0, and the string tension sigma.
Source arXiv, hep-ph/0407056
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