Baryonic states in $\mathcal{N}=1$ supersymmetric SU(2) Yang-Mills theory on the lattice

Abstract

We extend our analysis of bound states in $\mathcal{N}=1$ supersymmetric Yang-Mills theory by the consideration of baryonic operators, which are composed of three gluino fields. The corresponding states are similar to the baryons in QCD, but due to the difference between gluino and quark fields, their properties and the fermion line contractions involved in their correlation functions are different from QCD. In this work, we first explain the derivation of these operators and the contractions needed in numerical calculations of their correlators. In contrast to QCD the correlators contain a spectacle piece, which requires methods for all-to-all propagators. We provide a first estimate of the two-point function and the mass of the lightest baryonic state in $\mathcal{N}=1$ supersymmetric Yang-Mills theory.

References in corpus (15)

• Supersymmetric Dark Matter
• Meson Screening Masses in (2+1)-Flavor QCD
• Two-flavor adjoint QCD
• Towards N=1 Super-Yang-Mills on the Lattice
• On the Effective Action of N=1 Supersymmetric Yang-Mills Theory
• The light bound states of supersymmetric SU(2) Yang-Mills theory
• Baryon Spectroscopy in Lattice QCD
• The light bound states of $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice
• Towards the spectrum of low-lying particles in supersymmetric Yang-Mills theory
• Numerical results for the lightest bound states in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Perturbative calculation of the clover term for Wilson fermions in any representation of the gauge group SU(N)
• Analysis of Ward identities in supersymmetric Yang-Mills theory
• Variational analysis of low-lying states in supersymmetric Yang-Mills theory
• Continuum extrapolation of Ward identities in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Supermultiplets in N=1 SUSY SU(2) Yang-Mills Theory