The Large $N_c$ limit of QCD on the lattice

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.

arXiv commentContribution to the EPJA special issue "Lattice Field Theory during the COVID-19 pandemic". 19 pages, 17 figures, 1 table. Accepted in EPJA. Minor formatting issue fixed

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• A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
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Cited by in corpus (7)

• Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions
• Tetraquarks in large-$N_c$ QCD
• Color dependence of the topological susceptibility in Yang-Mills theories
• $Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology
• Finite temperature properties of QCD with two flavors and three, four and five colors
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops