A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory

1993/09/13 by Martin Lüscher, Martin Luescher, Rainer Sommer +2 · 12 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1016/0550-3213(94)90629-7

published as Nucl.Phys. B413 (1994) 481-502 · pages 0-27, ps-file 255491 bytes, preprint DESY 93-114 (CERN-TH 6996/93)

arxiv created 1993/09/13 · openalex publication_date 1994/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A non-perturbative finite-size scaling technique is used to study the evolution of the running coupling (in a certain adapted scheme) in the SU(3) Yang-Mills theory. At low energies contact is made with the fundamental dynamical scales, such as the string tension K, while at larger energies the coupling is shown to evolve according to perturbation theory. In that regime the coupling in the MS-bar scheme of dimensional regularization is obtained with an estimated total error of a few percent.

Citations

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