The gradient flow running coupling scheme

2012/11/14 by Fodor, Zoltan, Holland, Kieran, Kuti, Julius +2
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.1211.3247

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.

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• The Gradient Flow Coupling in Minimal Walking Technicolor
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• Improved gradient flow for step scaling function and scale setting
• Determination of the continuous β function of SU(3) Yang-Mills theory