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

Feb 21, 2023

17 pages

Published in:

Phys.Rev.D 107 (2023) 11, 114506

Published: Jun 1, 2023

e-Print:

2302.10514 [hep-lat]

DOI:

10.1103/PhysRevD.107.114506 (publication)

Report number:

CERN-TH-2023-028

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Abstract: (APS)

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

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.

flavor: 1
gauge field theory: Yang-Mills
color: 3
operator: Dirac
fermion: determinant
fermion: Wilson
quantum chromodynamics
supersymmetry
orientifold
tree approximation

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