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

TL;DR

This study explores the spectrum of low-lying mesonic states in one-flavor QCD, revealing connections to supersymmetric theories and providing insights into supersymmetric dynamics through lattice simulations.

Contribution

It presents the first detailed lattice computation of mesonic spectra in one-flavor QCD and compares results with large-N effective theories, highlighting supersymmetric connections.

Findings

Spectral results are consistent with large-N predictions.

Identified configurations with negative fermion determinants and performed reweighting.

The spin-one sector offers new insights into supersymmetric dynamics.

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.