Dirac fermions in the fundamental representation of SU(N) live on the surface of a cylinder embedded in R3 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.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- 1/N expansion
- Lattice gauge field theories
- Spontaneous symmetry breaking