Three-gluon running coupling from lattice QCD at N f = 2 + 1 + 1: a consistency check of the OPE approach

  • Ph. Boucaud
  • M. Brinet
  • F. De Soto
  • V. Morenas
  • O. Pène
  • K. Petrov
  • J. Rodríguez-QuinteroEmail author
Open Access


We present a lattice calculation of the renormalized running coupling constant in symmetric (MOM) and asymmetric \( \left( {\widetilde{\mathrm{MOM}}} \right) \) momentum substraction schemes including u, d, s and c quarks in the sea. An Operator Product Expansion dominated by the dimension-two 〈A 2〉 condensate is used to fit the running of the coupling. We argue that the agreement in the predicted 〈A 2〉 condensate for both schemes is a strong support for the validity of the OPE approach and the effect of this non-gauge invariant condensate over the running of the strong coupling.


Lattice QCD Sum Rules QCD 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  • Ph. Boucaud
    • 1
  • M. Brinet
    • 2
  • F. De Soto
    • 3
  • V. Morenas
    • 4
  • O. Pène
    • 1
  • K. Petrov
    • 5
  • J. Rodríguez-Quintero
    • 6
    • 7
    Email author
  1. 1.Laboratoire Physique ThéoriqueUniversité de Paris XIOrsay CedexFrance
  2. 2.Laboratoire de Physique Subatomique et de Cosmologie, CNRS/IN2P3/UJFGrenobleFrance
  3. 3.Departamento de Sistemas Físicos, Químicos y NaturalesUniversidad Pablo de OlavideSevillaSpain
  4. 4.Laboratoire de Physique Corpusculaire, Université Blaise Pascal, CNRS/IN2P3Aubière CedexFrance
  5. 5.Laboratoire de l’Accélérateur Linéaire, Centre Scientifique d’OrsayORSAY Cedex,France
  6. 6.Departamento de Física Aplicada, Facultad de Ciencias ExperimentalesUniversidad de HuelvaHuelvaSpain
  7. 7.CAFPE, Universidad de GranadaGranadaSpain

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