Yukawa theories as effective theories of quantum chromodynamics for a large number of colors

Abstract

An effective theory for low-energy nuclear interactions is proposed, based on results obtained from the 1/Nc expansion of quantum chromodynamics. The Lagrangian is local in the meson sector, but in the baryon sector it is nonlocal both in the meson-baryon Yukawa coupling and in the baryon propagators. It satisfies an important consequence of the 1/Nc expansion, the suppression of baryon loops. Our findings are then shown to support the traditional approaches in nuclear physics and, more especially, the relativistic nuclear many-body theories at baryon-tree level.