Spectrum of QCD with one flavor: A window for supersymmetric dynamics

Michele Della Morte, Benjamin Jäger, Francesco Sannino, J. Tobias Tsang*, Felix P.G. Ziegler


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We compute the spectrum of the low-lying mesonic states with vector, scalar and pseudoscalar quantum numbers in QCD with one flavor. With three colors the fundamental and the two-index antisymmetric representations of the gauge group coincide. The latter is an orientifold theory that maps into the bosonic sector of N=1 super Yang-Mills theory in the large number of colors limit. We employ Wilson fermions along with tree-level improvement in the gluonic and fermionic parts of the action. In this setup the Dirac operator can develop real negative eigenvalues. We therefore perform a detailed study in order to identify configurations where the fermion determinant is negative and eventually reweight them. We finally compare results with effective field theory predictions valid in the large NC limit and find reasonably consistent values despite NC being only three. Additionally, the spin-one sector provides a novel window for supersymmetric dynamics.

TidsskriftPhysical Review D
Udgave nummer11
Antal sider17
StatusUdgivet - 1. jun. 2023

Bibliografisk note

Funding Information:
We thank John Bulava for discussions and his early work. We thank the members of the SDU lattice group for useful 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 and by the Independent Research Fund Denmark, Research Project 1, Grant No. 8021-00122B. F. P. G. Z. acknowledges support from UKRI Future Leader Fellowship MR/T019956/1. This work was partially supported by DeiC National HPC (g.a. DeiC-SDU-N5-202200006). Part of the computation done for this project was performed on the UCloud interactive HPC system and ABACUS2.0 supercomputer, which is managed by the eScience Center at the University of Southern Denmark.

Publisher Copyright:
© 2023 authors. Published by the American Physical Society.


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