TY - JOUR
T1 - A comment on the Nielsen-Ninomiya theorem
AU - Dagotto, E.
AU - Fradkin, Eduardo H
AU - Moreo, A.
PY - 1986/5/22
Y1 - 1986/5/22
N2 - 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.
AB - 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.
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U2 - 10.1016/0370-2693(86)90274-1
DO - 10.1016/0370-2693(86)90274-1
M3 - Article
AN - SCOPUS:0011570202
SN - 0370-2693
VL - 172
SP - 383
EP - 386
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 3-4
ER -