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

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

1993-09-13

arxiv.org/abs/hep-lat/9309005v1

Nucl.Phys. B413 (1994) 481-502

Physics

High Energy Physics

High Energy Physics - Lattice

pages 0-27, ps-file 255491 bytes, preprint DESY 93-114 (CERN-TH 6996/93)

Scientific paper

10.1016/0550-3213(94)90629-7

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.

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