Phenomenology of Large N_c QCD

Abstract

These lectures are designed to introduce the methods and results of large N_c QCD in a presentation intended for nuclear and particle physicists alike. Beginning with definitions and motivations of the approach, we demonstrate that all quark and gluon Feynman diagrams are organized into classes based on powers of 1/N_c. We then show that this result can be translated into definite statements about mesons and baryons containing arbitrary numbers of constituents. In the mesons, numerous well-known phenomenological properties follow as immediate consequences of simply counting powers of N_c, while for the baryons, quantitative large N_c analyses of masses and other properties are seen to agree with experiment, even when ``large'' N_c is set equal to its observed value of 3. Large N_c reasoning is also used to explain some simple features of nuclear interactions.

34 pages, 14 eps figures, latex (revtex), uses epsf. Lectures presented at 11th Indian-Summer School of Nuclear Physics, Charles University, Prague, September, 1998; to appear in Czech J. Phys

References in corpus (8)

• Evidence for Exotic Meson Production in the Reaction ${\pi }^{-}p\to \eta {\pi }^{-}p$ at 18 GeV/c
• SU(3) symmetry breaking in hyperon semileptonic decays
• Large-N_c Baryons
• $1/N_c$ Expansion for Excited Baryons
• Explicit Quark-hadron Duality in Heavy-light Meson Weak Decays in the 't Hooft Model
• Photoproduction of of l=1 Baryons: Quark Model versus Large N_c
• Qunatum Number Exotic Mesons and Large N QCD
• Flavor from Strongly Coupled Supersymmetry

Cited by in corpus (39)

• Electromagnetic excitation of the Delta(1232)-resonance
• SU(N) gauge theories at large N
• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance
• Scalar nonet quarkonia and the scalar glueball: mixing and decays in an effective chiral approach
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion
• New Bounds on Isotropic Lorentz Violation
• Quadrupole Moments of N and Delta in the 1/N_c Expansion
• Quark-Hadron Duality in Structure Functions
• Dynamical generation and dynamical reconstruction
• Baryon Charge Radii and Quadrupole Moments in the 1/N_c Expansion: The 3-Flavor Case
• Introductory lectures to large-N QCD phenomenology and lattice results
• Large N_c, Constituent Quarks, and N, Delta Charge Radii
• Inhomogeneous condensation in effective models for QCD using the finite-mode approach
• Tetraquarks in large-$N_c$ QCD
• Complete Analysis of Baryon Magnetic Moments in 1/N_c
• Serber symmetry, Large Nc and Yukawa-like One Boson Exchange Potentials
• Influence of the axial anomaly on the decay $N(1535)\to N\eta$
• Feynman-Hellmann theorem for resonances and the quest for QCD exotica
• Phenomenology of pseudotensor mesons and the pseudotensor glueball
• Does nuclear matter bind at large $N_c$?
• Decays of the vector glueball
• Phenomenology of $J^{PC}=3^{--}$ tensor mesons
• Photo-production of Positive Parity Excited Baryons in the 1/Nc Expansion of QCD
• The fate of the critical endpoint at large $N_c$
• Thermodynamics of the Glueball Resonance Gas
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Non-spherical proton shape and hydrogen hyperfine splitting
• Glueball-glueball scattering and the glueballonium
• Can the $\psi (4040)$ explain the peak associated with $Y(4008)$?
• Electromagnetic multipole moments of baryons
• Neutron stars in the large-$N_c$ limit
• Selection rules for J^PC Exotic Hybrid Meson Decay in Large-N_c
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
• 1/N_c Corrections in Meson-Baryon Scattering
• (Field) Symmetrization Selection Rules
• Towers of positive parity excited baryons and their mixing in the large $N_c$ limit
• Excited nucleon electromagnetic form factors from broken spin-flavor symmetry