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A precise determination of the running coupling in the SU(3) Yang-Mills theory

1994; Elsevier BV; Volume: 413; Issue: 1-2 Linguagem: Inglês

10.1016/0550-3213(94)90629-7

1873-1562

Martin Lüscher, Rainer Sommer, Peter Weisz, Ulli Wolff,

Particle physics theoretical and experimental studies

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 scheme of dimensional regularization is obtained with an estimated total error of a few percent.