Communications in Mathematical Physics

, Volume 85, Issue 4, pp 481–490 | Cite as

A proof of the Nielsen-Ninomiya theorem

  • D. Friedan
Article

Abstract

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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References

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    See for example Kobayashi, S., Nomizu, K.: Foundations of Differential Geometry Vol. II, New York: Interscience 1969Google Scholar
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    Atiyah, M. F., Patodi, W. K., Singer, I. M.: Math. Proc. Camb. Philos. Soc.79, 71 (1976)Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • D. Friedan
    • 1
  1. 1.Service de Physique TheoriqueCEN-SaclayGif-sur-YvetteFrance
  2. 2.Enrico Fermi InstituteUniversity of ChicagoChicago

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