Two dimensional fermions in four dimensional YM

R. Narayanan, H. Neuberger

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Dirac fermions in the fundamental representation of SU(N) live on a two dimensional torus flatly embedded in R 4. They interact with a four dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite N. As the size of the torus in units of 1/Λ SU(N) is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite N limit.

Original languageEnglish (US)
Article number018
JournalJournal of High Energy Physics
Issue number11
StatePublished - 2009

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • 1/N expansion
  • Lattice gauge field theories


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