Spectrum of QCD with one flavor: A window for supersymmetric dynamics
arXiv:2302.10514 · doi:10.1103/PhysRevD.107.114506
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 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 limit and find reasonably consistent values despite being only three. Additionally,the spin-one sector provides a novel window for supersymmetric dynamics.
arXiv commentVersion accepted and published by PRD (Phys. Rev. D 107, 114506)
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