A Little Large N Group Theory

Abstract

We discuss the group theory relevant to the ground-state baryons in large N_c QCD. For very large representation, the group generators become classical variables. We find the form of the classical generators for the completely symmetric N index representation of $SU(m)$ as $N\to \infty$ and derive an integral formula for the matrix elements of an arbitrary polynomial in the group generators between low-spin baryon states in the large N limit.

13 pages, LaTeX

References in corpus (8)

• The 1/N Expansion for Baryons
• Baryon-Pion Couplings from Large-N QCD
• Spin-Flavor Structure of Large N Baryons
• 1/N Corrections to the Baryon Axial Currents in QCD
• Baryons from Quarks in the $1/N$ Expansion
• On Spin Independence in Large $N_c$ Baryons
• Baryon Hyperfine Mass Splittings in Large N QCD
• Realization of compact Lie algebras in Kähler manifolds

Cited by in corpus (3)

• Large-N_c Baryons
• Bosonic Operator Methods for the Quark Model
• Occupation number formalism for arbitrary Nc baryons