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A proof of the Nielsen-Ninomiya theorem

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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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Communicated by R. Stora

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Friedan, D. A proof of the Nielsen-Ninomiya theorem. Commun.Math. Phys. 85, 481–490 (1982). https://doi.org/10.1007/BF01403500

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  • DOI: https://doi.org/10.1007/BF01403500

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