Two dimensional fermions in three dimensional YM

R. Narayanan, H. Neuberger

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number14
JournalJournal of High Energy Physics
Issue number6
StatePublished - 2010

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • 1/N expansion
  • Confinement
  • Lattice gauge field theories
  • Spontaneous symmetry breaking


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