Chiral symmetry breaking at large Nc

We present numerical evidence for the hypothesis that, in the planar limit, four-dimensional Euclidean Yang-Mills theory on a finite symmetrical four-torus breaks chiral symmetry spontaneously when the length of the sides l is larger than a critical value lc with a bilinear condensate whose value is independent of l. Therefore spontaneous symmetry breaking occurs at finite volume and infinite Nc reduction holds for the chiral condensate