Solvability, consistency, and the renormalization group in large-Nc models of hadrons.

We study meson-baryon Lagrangians in the large-[ital N][sub [ital c]] limit, and show the following. (a) To leading order in 1/[ital N][sub [ital 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-[ital N][sub [ital c]] selection rules---the bare Yukawa couplings, baryon masses and hyperfine baryon mass splittings. (c) The exact large-[ital N][sub [ital c]] renormalization group equations for these quantities are derived. Skyrme-type models are conjectured to be UV fixed points of such flows.