  Dirac fermions in the fundamental representation of SU(N) live on the surface
of a cylinder embedded in $R^3$ and interact with a three dimensional SU(N)
Yang Mills vector potential preserving a global chiral symmetry at finite $N$.
As the circumference of the cylinder is varied from small to large, the chiral
symmetry gets spontaneously broken in the infinite $N$ limit at a typical bulk
scale. Replacing three dimensional YM by four dimensional YM introduces
non-trivial renormalization effects.
