SOLVABILITY, CONSISTENCY, AND THE RENORMALIZATION-GROUP IN LARGE-N(C) MODELS OF HADRONS

We study meson-baryon Lagrangians in the large-N(c) limit, and show the following. (a) To leading order in 1/N(c), the dressed 1-meson-2-baryon Green's functions (an infinite class of divergent Feynman graphs) are obtained exactly by solving coupled classical field equations with a UV cutoff. (b) The only effect of this graph resummation is to renormalize-consistent with large-N(c) selection rules-the bare Yukawa couplings, baryon masses and hyperfine baryon mass splittings. (c) The exact large-N(c) renormalization group equations for these quantities are derived. Skyrme-type models are conjectured to be UV fixed points of such flows.