Estimates for the lightest baryon masses in $\mathcal{N} = 1$ supersymmetric Yang-Mills theory

TL;DR

This paper estimates the masses of baryon-like bound states in $ ext{N}=1$ supersymmetric Yang-Mills theory, providing numerical results for SU(2) gauge group and advancing understanding of non-perturbative supersymmetric phenomena.

Contribution

It presents updated numerical estimates for the lightest baryon masses in $ ext{N}=1$ supersymmetric Yang-Mills theory, focusing on SU(2) gauge group and complex correlation function calculations.

Findings

Numerical estimates for the lowest baryon masses are provided.

Correlation functions involve sunset and spectacle diagrams.

Results enhance understanding of bound states in supersymmetric gauge theories.

Abstract

$\mathcal{N} = 1$ supersymmetric Yang-Mills theory describes gluons interacting with gluinos, which are spin-$\frac{1}{2}$ Majorana particles in the adjoint representation of the gauge group. In addition to glueballs and mesonic bound states, the theory contains color neutral bound states of three gluinos, which are analogous to baryons in QCD. We calculate their correlation functions, involving ``sunset diagrams'' and ``spectacle diagrams'', numerically for gauge group SU(2) and present an update on the estimates for the lowest masses.