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Article
Report number	arXiv:2302.10514 ; CERN-TH-2023-028
Title	Spectrum of QCD with one flavor: A window for supersymmetric dynamics
Related title	The spectrum of QCD with one flavour: A Window for Supersymmetric Dynamics
Author(s)	Della Morte, Michele (Southern Denmark U., CP3-Origins) ; Jäger, Benjamin (Southern Denmark U., CP3-Origins ; U. Southern Denmark, Odense, DIAS) ; Sannino, Francesco (Southern Denmark U., CP3-Origins ; U. Southern Denmark, Odense, DIAS ; Naples U.) ; Tsang, Justus Tobias (CERN ; Southern Denmark U., CP3-Origins) ; Ziegler, Felix P.G. (Edinburgh U.)
Publication	2023-06-01
Imprint	2023-02-21
Number of pages	17
In:	Phys. Rev. D 107 (2023) 114506
DOI	10.1103/PhysRevD.107.114506 (publication)
Subject category	hep-th ; Particle Physics - Theory ; hep-lat ; Particle Physics - Lattice
Abstract	We compute the spectrum of the low-lying mesonic states with vector, scalar and pseudoscalar quantum numbers in QCD with one flavour. With three colours the fundamental and the two-index anti-symmetric representations of the gauge group coincide. The latter is an orientifold theory that maps into the bosonic sector of $\mathcal{N} = 1$ super Yang-Mills theory in the large number of colours 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 $N_C$ limit and find reasonably consistent values despite $N_C$ being only three. Additionally,the spin-one sector provides a novel window for supersymmetric dynamics.
Copyright/License	preprint: (License: CC BY-NC-SA 4.0) publication: © 2023-2025 authors (License: CC BY 4.0), sponsored by SCOAP³

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