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arxiv 2303.00704 v2 pith:ANXG5ITL submitted 2023-03-01 hep-lat hep-ph

Λ parameter of the SU(3) Yang-Mills theory from the continuous β function

Anna Hasenfratz , Curtis Taylor Peterson , Jake van Sickle , Oliver Witzel This is my paper
classification hep-lat hep-ph
keywords betafunctionlambdacoupledtextrmcontinuouscouplingdeterminations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Nonperturbative determinations of the renormalization group $\beta$ function are essential to connect lattice results to perturbative predictions of strongly coupled gauge theories and to determine the $\Lambda$ parameter or the strong coupling constant. The continuous $\beta$ function is very well suited for this task because it is applicable both in the weakly coupled deconfined regime as well as the strongly coupled confined regime. Here we report on our results for the $\beta$ function of the pure gauge SU(3) Yang-Mills theory in the gradient flow scheme. Our calculations cover the renormalized coupling range $g^2_{\textrm{GF}} \sim 1.2 - 27$, allowing for a direct determination of $\sqrt{8t_0} \Lambda_{\overline{\textrm{MS}}}$ in this system. Our prediction, $\sqrt{8 t_0} \Lambda_{\overline{\textrm{MS}}}=0.622(10)$, is in good agreement with recent direct determinations of this quantity.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The large-$N$ Yang--Mills $\Lambda$-parameter from step scaling

    hep-lat 2026-07 conditional novelty 6.0

    First non-asymptotic-scaling determination of the large-N Yang-Mills Λ-parameter yields √(8t₀)Λ_MS(N=∞) = 0.639(36).

  2. Gradient Flow Renormalization Schemes for Composite Fermion Operators

    hep-lat 2026-07 unverdicted novelty 6.0

    New A and V gradient flow schemes enable nonperturbative renormalization of composite fermion operators via conserved currents and ratios of correlation functions, demonstrated on domain-wall ensembles for Z_V/Z_A and...