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arxiv: 1301.4388 · v2 · pith:IS4FEC2Enew · submitted 2013-01-18 · ✦ hep-lat

The gradient flow coupling in the Schr\"odinger Functional

Patrick Fritzsch , Alberto Ramos This is my paper
classification ✦ hep-lat
keywords couplingflowcontinuumcutoffeffectsfieldfunctionalgradient
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We study the perturbative behavior of the Yang-Mills gradient flow in the Schr\"odinger Functional, both in the continuum and on the lattice. The energy density of the flow field is used to define a running coupling at a scale given by the size of the finite volume box. From our perturbative computation we estimate the size of cutoff effects of this coupling to leading order in perturbation theory. On a set of Nf=2 gauge field ensembles in a physical volume of L ~ 0.4 fm we finally demonstrate the suitability of the coupling for a precise continuum limit due to modest cutoff effects and high statistical precision.

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  1. Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence

    hep-lat 2025-11 unverdicted novelty 5.0

    Gradient-flow scales are set for SU(3), SU(5), SU(8) and large-N Yang-Mills down to 0.025 fm using twisted volume reduction and topology-taming algorithms.