The Yang-Mills gradient flow in finite volume is used to define a running coupling scheme. As our main result the discrete b-function, or step scaling function, is calculated for scale change s=3=2 at several lattice spacings for SU(3) gauge theory coupled to Nf =4 fundamental massless fermions. The continuum extrapolation is performed and agreement is found with the continuum perturbative results for small renormalized coupling. The case of SU(2) gauge group is briefly commented on.
|Original language||English (US)|
|Journal||Proceedings of Science|
|State||Published - 2012|
|Event||30th International Symposium on Lattice Field Theory, Lattice 2012 - Cairns, Australia|
Duration: Jun 24 2012 → Jun 29 2012
All Science Journal Classification (ASJC) codes