The light bound states of $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice

Abstract

In this article we summarise our results from numerical simulations of $\mathcal{N}=1$ supersymmetric Yang-Mills theory with gauge group SU(3). We use the formulation of Curci and Veneziano with clover-improved Wilson fermions. The masses of various bound states have been obtained at different values of the gluino mass and gauge coupling. Extrapolations to the limit of vanishing gluino mass indicate that the bound states form mass-degenerate supermultiplets.

18 pages, 11 figures

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• Progress and prospects of lattice supersymmetry
• Analysis of Ward identities in supersymmetric Yang-Mills theory
• Lattice studies of supersymmetric gauge theories
• Scale setting for large-$N$ SUSY Yang-Mills on the lattice
• Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow
• openQ*D code: a versatile tool for QCD+QED simulations
• Gauge-invariant Renormalization of the Gluino-Glue operator
• Continuum extrapolation of Ward identities in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Mass spectrum of $2$-dimensional $\mathcal{N}=(2,2)$ super Yang-Mills theory on the lattice
• Exploring gauge theories with adjoint matter on the lattice
• Markov Chain Monte Carlo for Dummies
• Lattice simulations of adjoint QCD with one Dirac overlap fermion
• Renormalization and Mixing of the Gluino-Glue Operator on the Lattice
• Supersymmetric and conformal theories on the lattice: from super Yang-Mills towards super QCD
• $\mathcal{N}=1$ Super-Yang-Mills theory on the lattice with twisted mass fermions
• Baryonic states in $\mathcal{N}=1$ supersymmetric SU(2) Yang-Mills theory on the lattice
• $\mathcal{N}=1$ Supersymmetric $SU(3)$ Gauge Theory -- Pure Gauge sector with a twist
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit