The gluino-glue particle and finite size effects in supersymmetric Yang-Mills theory

Abstract

The spectrum of particles in supersymmetric Yang-Mills theory is expected to contain a spin 1/2 bound state of gluons and gluinos, the gluino-glue particle. We study the mass of this particle in softly broken supersymmetric Yang-Mills theory on a lattice by means of numerical simulations. The main focus is the estimation of finite size effects. We extrapolate the mass first to the infinite volume and then to the limit of a vanishing gluino mass. The results indicate that finite size effects are tolerable on lattices of moderate size, and that remaining deviations from supersymmetry are probably due to finite lattice spacing effects.

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• Compactified N=1 supersymmetric Yang-Mills theory on the lattice: Continuity and the disappearance of the deconfinement transition
• Phase structure of the N=1 supersymmetric Yang-Mills theory at finite temperature
• Emergent Dimensions and Braneworlds from Large-N Confinement
• Perturbative calculation of the clover term for Wilson fermions in any representation of the gauge group SU(N)
• Supersymmetry on the lattice
• Influence of topology on the scale setting
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• Variational analysis of low-lying states in supersymmetric Yang-Mills theory
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• Latest lattice results of N=1 supersymmetric Yang-Mills theory with some topological insights
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• Clover fermions in the adjoint representation and simulations of supersymmetric Yang-Mills theory
• Supermultiplets of the N=1 supersymmetric Yang-Mills theory in the continuum limit
• First studies of the phase diagram of N=1 supersymmetric Yang-Mills theory
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit