The gradient flow running coupling scheme

Abstract

The Yang-Mills gradient flow in finite volume is used to define a running coupling scheme. As our main result the discrete beta-function, or step scaling function, is calculated for scale change s=3/2 at several lattice spacings for SU(3) gauge theory coupled to N_f = 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.

7 pages, Proceedings of the 30th International Symposium on Lattice Field Theory, June 24 - 29, 2012, Cairns, Australia

References in corpus (7)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• Trivializing maps, the Wilson flow and the HMC algorithm
• The running coupling of QCD with four flavors
• The Yang-Mills gradient flow in finite volume
• Continuous smearing of Wilson Loops
• Non-perturbative running of the coupling from four flavour lattice QCD with staggered quarks

Cited by in corpus (17)

• Chiral symmetry and the Yang--Mills gradient flow
• The gradient flow coupling in the Schrödinger Functional
• Studying the gradient flow coupling in the Schrödinger functional
• The lattice gradient flow at tree-level and its improvement
• Energy-momentum tensor from the Yang-Mills gradient flow
• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Chiral Symmetry Breaking on the Lattice
• Gradient Flow of O(N) nonlinear sigma model at large N
• The renormalization group step scaling function of the 2-flavor SU(3) sextet model
• The gradient flow running coupling in SU(2) gauge theory with $N_f=8$ fundamental flavors
• Nonperturbative determination of $\beta$ functions for SU(3) gauge theories with 10 and 12 fundamental flavors using domain wall fermions
• The lattice gradient flow at tree level
• Non-abelian lattice gauge theory with a topological action
• Effective lattice action for the configurations smeared by the Wilson flow
• Running coupling of the sextet composite Higgs model
• Memory efficient finite volume schemes with twisted boundary conditions