AN ANALYTIC APPROACH TO PERTURBATIVE QCD
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Publication:4523702
DOI10.1142/S0217751X00001117zbMATH Open0963.81073arXivhep-ph/9911456MaRDI QIDQ4523702
Author name not available (Why is that?)
Publication date: 14 January 2001
Published in: (Search for Journal in Brave)
Abstract: The two-loop invariant (running) coupling of QCD is written in terms of the Lambert W function. The analyticity structure of the coupling in the complex Q^2-plane is established. The corresponding analytic coupling is reconstructed via a dispersion relation. We also consider some other approximations to the QCD beta-function, when the corresponding couplings are solved in terms of the Lambert function. The Landau gauge gluon propagator has been considered in the renormalization group invariant analytic approach (IAA). It is shown that there is a nonperturbative ambiguity in determination of the anomalous dimension function of the gluon field. Several analytic solutions for the propagator at the one-loop order are constructed. Properties of the obtained analytical solutions are discussed.
Full work available at URL: https://arxiv.org/abs/hep-ph/9911456
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