Large-[Formula presented] Reduction in the Continuum Three-Dimensional Yang-Mills Theory

Numerical and theoretical evidence leads us to propose the following: Three-dimensional Euclidean Yang-Mills theory in the planar limit undergoes a phase transition on a torus of side [Formula presented]. For [Formula presented] the planar limit is [Formula presented] independent, as expected of a noninteracting string theory. We expect the situation in four dimensions to be similar.