Lattice study of large $N_c$ QCD

TL;DR

This lattice study investigates large $N_c$ QCD by simulating meson and baryon properties across different $N_c$ values, confirming large $N_c$ scaling laws in various observables.

Contribution

The paper provides new lattice simulation data for $N_c=2,3,4,5$, demonstrating large $N_c$ regularities in meson and baryon spectroscopy with dynamical fermions.

Findings

Good agreement with large $N_c$ scaling in static potential

Consistent meson masses and decay constants across $N_c$

Baryon spectroscopy aligns with large $N_c$ expectations

Abstract

We present a lattice simulation study of large $N_c$ regularities of meson and baryon spectroscopy in $SU(N_c)$ gauge theory with two flavors of dynamical fundamental representation fermions. Systems investigated include $N_c=2$, 3, 4, and 5, over a range of fermion masses parametrized by a squared pseudoscalar to vector meson mass ratio between about 0.2 to 0.7. Good agreement with large $N_c$ scaling is observed in the static potential, in meson masses and decay constants, and in baryon spectroscopy. This is an update of the published version of the paper (Phys. Rev. D94 (2016) 034506).