Exploring the large-$N_c$ limit with one quark flavour

TL;DR

This paper investigates the large-$N_c$ limit of one-flavour QCD as a proxy for $ =1$ SYM, using lattice simulations with improved actions and smearing techniques to analyze the hadron spectrum and topological effects.

Contribution

It introduces lattice simulation results for one-flavour QCD at varying $N_c$, exploring topological freezing and spectrum analysis as a step towards understanding the large-$N_c$ limit.

Findings

Topological freezing increases with larger $N_c$

Hadron spectrum obtained using LapH smearing

Simulations suggest trends towards large-$N_c$ behavior

Abstract

We use one-flavour QCD ($N_c=3$) as a proxy to understand $\mathcal{N}=1$ SYM. For our simulations, we use tree-level improved Wilson fermions and Symanzik improved gauge action. The hadron spectrum is obtained by using LapH smearing for different masses and simulation volumes. We also report on our efforts to increase the number of colours in our simulations, where we find that the simulations show increasing topological freezing for larger $N_c$.