The spectrum of QCD with one flavour: A Window for Supersymmetric Dynamics

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

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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.
Original languageEnglish
JournalPhysical Review D
ISSN2470-0010
Publication statusSubmitted - 21. Feb 2023

Bibliographical note

15 pages, 18 figures, 2 tables

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