One Flavour QCD as an analogue computer for SUSY

TL;DR

This study uses lattice QCD with one quark flavor to explore predictions from effective theories related to supersymmetric Yang-Mills, analyzing the hadronic spectrum and addressing sign problems in simulations.

Contribution

It provides the first detailed lattice analysis of one-flavor QCD as an analogue for supersymmetric theories, including spectrum and sign problem investigation.

Findings

Observed negative fermion determinants in certain ensembles.

Analyzed hadronic spectrum including excited states.

Identified regions with sign problems in lattice simulations.

Abstract

We numerically study QCD with a single quark flavour on the lattice probing predictions from effective field theories that are equivalent to minimal super-symmetric Yang-Mills theory in the large $N_c$ limit. The hadronic spectrum including excited states is analysed using one gauge coupling and several physical volumes and fermion masses. We use the LapH method and also compute disconnected diagrams. Lattice simulations with an odd number of Wilson fermions give rise to regions of configuration space with a negative fermionic weight entailing a sign problem. We perform a detailed analysis on the spectrum of the Wilson-Dirac operator and report on observed cases of a negative fermion determinant in our ensembles.