6533b854fe1ef96bd12af655

RESEARCH PRODUCT

The large $$N_{c}$$ limit of QCD on the lattice

Pilar HernándezFernando Romero-lópez

subject

PhysicsQuantum chromodynamicsNuclear and High Energy PhysicsParticle physicsMeson010308 nuclear & particles physicsGlueballHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyHigh Energy Physics - Lattice (hep-lat)Lattice (group)FOS: Physical sciences01 natural sciencesBaryonHigh Energy Physics - PhenomenologyHigh Energy Physics - LatticeHigh Energy Physics - Phenomenology (hep-ph)Factorization0103 physical sciencesHigh Energy Physics::ExperimentGauge theoryLimit (mathematics)010306 general physics

description

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.

10.1140/epja/s10050-021-00374-2http://dx.doi.org/10.1140/epja/s10050-021-00374-2