https://doi.org/10.1140/epjc/s10052-023-11730-5
Regular Article - Theoretical Physics
Baryonic states in 
supersymmetric SU(2) Yang–Mills theory on the lattice
1
Universität Bielefeld, Fakultät für Physik, Universitätsstr. 25, 33615, Bielefeld, Germany
2
Department of Physics, Government College University Lahore, 54000, Lahore, Pakistan
3
Institute for Theoretical Physics, University of Jena, Max-Wien-Platz 1, 07743, Jena, Germany
4
Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149, Münster, Germany
5
Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607, Hamburg, Germany
6
Institute for Theoretical Physics, University of Regensburg, Universitätsstr. 31, 93040, Regensburg, Germany
a
sajid.ali@physik.uni-bielefeld.de
Received:
10
May
2023
Accepted:
19
June
2023
Published online:
1
July
2023
We extend our analysis of bound states in 
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 supersymmetric Yang–Mills theory.
© The Author(s) 2023
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