arXiv · hep-lat/9510045
The Strong Coupling Constant from the Lattice 3-Gluon Vertex
Abstract
We compute the QCD running coupling on the lattice as defined from the 3-gluon vertex. We present the results of an exploratory study at $β=6.0$ on a $16^4$ lattice, which show that for momenta larger than 2 \Gev, the coupling runs according to the 2-loop asymptotic formula, allowing a precise determination of the $Λ$ parameter. Our renormalization procedure corresponds to a momentum subtraction scheme in the continuum and, most remarkably, one does not need lattice perturbation theory to match the results to MSbar scheme. We obtain $α^{\MSB}(M_Z) = 0.115 \pm 0.003 \pm 0.008$.
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D. Henty, C. Parrinello, C. Pittori. 1995-10-24. The Strong Coupling Constant from the Lattice 3-Gluon Vertex. https://arxiv.org/abs/hep-lat/9510045
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