Semiclassical Meson-Baryon Dynamics from Large-Nc QCD

Abstract

The large-$N_c$ limit of the meson-baryon effective Lagrangian is shown to reduce to a semiclassical field theory. A chiral bag structure emerges naturally in the $N_c\to \infty$ limit. A possible connection between the chiral bag picture and the Skyrme model is discussed. The classical meson-baryon theory is used to reproduce the $M_{\pi }^3$ non-analytic correction to the baryon mass obtained previously as a loop correction in chiral perturbation theory.

(13 pages, 1 figure, uses harvmac and uufiles), UCSD/PTH 94-14

References in corpus (8)

• The 1/N Expansion for Baryons
• Baryon-Pion Couplings from Large-N QCD
• 1/N Corrections to the Baryon Axial Currents in QCD
• On Spin Independence in Large $N_c$ Baryons
• Baryon Hyperfine Mass Splittings in Large N QCD
• Light Quark Spin-Flavor Symmetry for Baryons Containing a Heavy Quark in Large N QCD
• Hyperfine Mass Splittings of Baryons Containing a Heavy Quark in Large N QCD
• Solvability, Consistency and the Renormalization Group in Large-$N_c$ Models of Hadrons

Cited by in corpus (14)

• Baryon Mass Splittings in the 1/N_c Expansion
• From Chiral Mean Field to Walecka Mean Field and Kaon Condensation
• Large-N_c Baryons
• Chiral Lagrangian for Baryons in the $1/N_c$ Expansion
• Quantum Corrections to Baryon Properties in Chiral Soliton Models
• On the structure of large N cancellations in baryon chiral perturbation theory
• Electro-excitation amplitudes of the Delta-isobar in the Skyrme model
• Heavy Meson Electromagnetic Mass Differences from QCD
• Pion-Nucleon Scattering in a Large-N Sigma Model
• From Effective Lagrangians, to Chiral Bags, to Skyrmions with the Large-N_c Renormalization Group
• BARYON-BARYON INTERACTIONS IN LARGE N_C CHIRAL PERTURBATION THEORY
• Chiral Divergent Properties of Hadrons in the Large-N_c Limit
• The large-$N_c$ limit and the behavior of $g_A^{(0)}$ and $g_A$
• Pion Correlations and Two-Particle Bound States