A Precise Determination of the Running Couplingin the SU ( 3 )

  title={A Precise Determination of the Running Couplingin the SU ( 3 )},
  author={Rainer SommerDeutsches Elektronen - Synchrotron DESYNotkestrasse},
  • Rainer SommerDeutsches Elektronen - Synchrotron DESYNotkestrasse
  • Published 2008
A non-perturbative nite-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. 
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A new way to set the energy scale in lattice gauge theories and its application to the static force and s in SU(2) Yang-Mills theory

  • R. Sommer
  • DESY 93-062
  • 1993
Highly Influential
3 Excerpts


  • G. P. Lepage, P. B. Mackenzie
  • Phys. B (Proc. Suppl.) 20
  • 1991


  • A. Hasenfratz, P. Hasenfratz
  • Lett. 93B (1980) 165; Nucl. Phys. B193
  • 1981

in: High-Energy Physics | 1980

  • G. Parisi
  • XX. Int. Conf., Madison (1980), ed. L. Durand…
  • 1981
1 Excerpt


  • O. V. Tarasov, A. A. Vladimirov, A. Yu
  • Phys. Lett. B93
  • 1980
1 Excerpt

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