Beta-Function in QCD and Gluon Condensate

2004/07/05 by A. I. Alekseev, Alekseev, A. I., B. A. Arbuzov +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0407056

LaTeX, 10 pages, 2 figures, added reference, not great elucidation after eq.(3) and in abstract

arxiv created 2004/08/27 · arxiv updated 2009/12/01

Abstract

Under assumption of singular behavior of alpha_s(q²) at q² sim 0 and of large q² 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_tau²) = 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 q₀, and the string tension sigma.

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