We numerically study QCD with a single quark flavour on the lattice probing predictions from effective field theories that are equivalent to minimal super-symmetric Yang-Mills theory in the large $N_c$ limit. The hadronic spectrum including excited states is analysed using one gauge coupling and several physical volumes and fermion masses. We use the LapH method and also compute disconnected diagrams. Lattice simulations with an odd number of Wilson fermions give rise to regions of configuration space with a negative fermionic weight entailing a sign problem. We perform a detailed analysis on the spectrum of the Wilson-Dirac operator and report on observed cases of a negative fermion determinant in our ensembles.
|Tidsskrift||P o S - Proceedings of Science|
|Status||Udgivet - 8. jul. 2022|
|Begivenhed||38th International Symposium on Lattice Field Theory, LATTICE 2021 - Virtual, Online, USA|
Varighed: 26. jul. 2021 → 30. jul. 2021
|Konference||38th International Symposium on Lattice Field Theory, LATTICE 2021|
|Periode||26/07/2021 → 30/07/2021|
Bibliografisk noteFunding Information:
Acknowledgements: We thank John Bulava for his contributions in the early stages of this project. We thank Felipe Attanasio and Antonio Rago for discussions. The project leading to this application has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 894103. M.D.M. and J.T.T. are partially supported by DFF Research project 1. Grant n. 8021-00122B. The computing resources for this work were provided by the U. of Southern Denmark and DeiC Interactive HPC (UCloud).
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