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arxiv: 2111.13092 · v1 · pith:ZKMOMS2Snew · submitted 2021-11-25 · ✦ hep-lat

The SU(N) running coupling in the twisted gradient flow scheme and volume independence

Jorge Luis Dasilva Golan , Margarita Garcia Perez , Alberto Ramos This is my paper
classification ✦ hep-lat
keywords couplingtwistedrunningvolumecoloursdifferenteffectsfinite
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We report on an ongoing study of the running coupling of SU(N) pure Yang-Mills theory in the twisted gradient flow scheme (TGF). The study exploits the idea that twisted boundary conditions reduce finite volume effects, leading to an effective size in the twisted plane that combines the number of colours and the torus period. We test this hypothesis by computing the TGF running coupling and the SU(N) $\Lambda-$ parameter on asymmetric lattices of size $(NL)^2L^2$ for various gauge groups. Finite volume effects are monitored by analyzing the coupling in different planes and by comparing results at different number of colours.

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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.