The Large $N_c$ limit of QCD on the lattice

TL;DR

This paper reviews recent lattice simulation studies of the large $N_c$ limit in gauge theories, focusing on corrections for $N_c o 3$ and various physical observables like spectra and decay constants.

Contribution

It provides a comprehensive overview of lattice results on large $N_c$ gauge theories, including corrections and phenomenological implications.

Findings

Validation of large-$N_c$ factorization

Quantitative estimates of $1/N_c$ corrections

Insights into meson, baryon spectra, and decay processes

Abstract

We review recent progress in the study of the large $N_c$ limit of gauge theories from lattice simulations. The focus is not only the planar limit but also the size of ${\mathcal O}(N_c^{-1})$ corrections for values of $N_c\gtrsim 3$. Some concrete examples of the topics we include are tests of large-$N_c$ factorization, the topological susceptibility, the glueball, meson and baryon spectra, the chiral dependence of masses and decay constants, and weak matrix elements related to the $\Delta I=1/2$ rule in kaon decays.