Baryonic states in N=1 supersymmetric SU(2) Yang–Mills theory on the lattice

• Published in: The European physical journal. C, Particles and fields Vol. 83; no. 7; p. 558
• Main Authors: Ali, Sajid, Bergner, Georg, López, Camilo, Montvay, Istvan, Münster, Gernot, Piemonte, Stefano
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2023; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Cosmology; Baryons; Correlation; Corresponding states; Elementary Particles; Fermions; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Numerical analysis; Operators (mathematics); Physics; Physics and Astronomy; Quantum chromodynamics; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; String Theory; Supersymmetry; Theoretical physics; Yang-Mills theory
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-023-11730-5

We extend our analysis of bound states in 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 N = 1 supersymmetric Yang–Mills theory.