Numerical results for the lightest bound states in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory

Abstract

The physical particles in supersymmetric Yang-Mills theory (SYM) are bound states of gluons and gluinos. We have determined the masses of the lightest bound states in SU(3) $\mathcal{N}=1$ SYM. Our simulations cover a range of different lattice spacings, which for the first time allows an extrapolation to the continuum limit. Our results show the formation of a supermultiplet of bound states, which provides a clear evidence for unbroken supersymmetry.

6 pages, 2 figures

References in corpus (5)

• High-precision scale setting in lattice QCD
• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• Dynamical simulation of N=1 supersymmetric Yang-Mills theory with domain wall fermions
• Taming the Leibniz Rule on the Lattice
• Variational analysis of low-lying states in supersymmetric Yang-Mills theory

Cited by in corpus (8)

• Lattice studies of supersymmetric gauge theories
• Scale setting for large-$N$ SUSY Yang-Mills on the lattice
• Gauge-invariant Renormalization of the Gluino-Glue operator
• Perturbative renormalization of the supercurrent operator in lattice $\mathcal{N}=1$ supersymmetric Yang-Mills theory
• Exploring gauge theories with adjoint matter on the lattice
• Nonperturbative renormalization of the supercurrent in $\mathcal{N}=1$ Supersymmetric Yang-Mills Theory
• Baryonic states in $\mathcal{N}=1$ supersymmetric SU(2) Yang-Mills theory on the lattice
• Scale setting for $\mathcal{N}=1$ SUSY Yang-Mills at large-$N$ through volume-reduced twisted matrix model