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The mass of the gluino-glue bound state in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang-Mills theory

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arxiv 2412.02348 v2 pith:EAE3PIDS submitted 2024-12-03 hep-lat hep-ph

Claudio Bonanno , Margarita García Pérez , Antonio González-Arroyo , Ken-Ichi Ishikawa , Masanori Okawa This is my paper · ORCID
classification hep-lathep-ph
keywords large-theorybounddeterminationgluino-gluemassmathcalmathrm
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abstract

We provide a first-principles non-perturbative determination of the mass of the lightest gluino-gluon bound state (gluino-glue) in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang--Mills theory by means of numerical Monte Carlo simulations of the lattice-discretized theory, and exploiting large-$N$ twisted volume reduction. Our large-$N$ determination is consistent with naive extrapolation of previously-known $\mathrm{SU}(2)$ and $\mathrm{SU}(3)$ results.

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

    hep-lat 2026-07 conditional novelty 6.0 of 10

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

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