A comment on the Nielsen-Ninomiya theorem

E. Dagotto, Eduardo H Fradkin, A. Moreo

Research output: Contribution to journalArticlepeer-review


An example of a local lattice hamiltonian in three space dimensions whose continuum limit spectrum consists of a single free Weyl particle and a set of non-propagating modes is presented. Our model satisfies all the hypotheses of the Nielsen-Ninomiya theorem. However, when locally coupled to a background abelian gauge field, it fails to exhibit the spectrum and anomalies expected for a charged Weyl field.

Original languageEnglish (US)
Pages (from-to)383-386
Number of pages4
JournalPhysics Letters B
Issue number3-4
StatePublished - May 22 1986

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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