Communications in Mathematical Physics

, Volume 85, Issue 4, pp 481–490

A proof of the Nielsen-Ninomiya theorem


  • D. Friedan
    • Service de Physique TheoriqueCEN-Saclay

DOI: 10.1007/BF01403500

Cite this article as:
Friedan, D. Commun.Math. Phys. (1982) 85: 481. doi:10.1007/BF01403500


The Nielsen-Ninomiya theorem asserts the impossibility of constructing lattice models of non-selfinteracting chiral fermions. A new proof is given here. This proof fills a technical gap in the two proofs presented by the authors of the theorem. It also serves as prelude to an investigation of the chiral properties of the general lattice model.

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© Springer-Verlag 1982