The Nielsen-Ninomiya no-go theorem asserts that chiral Weyl~(``neutrino'') fields cannot exist on lattices. However, the actual mathematical arguments advanced in the theorem fail to make that case. The theorem leaves the problem of lattice neutrinos completely open; it identifies no obstacle ...
(a)Dipartimento di Fisica, Universit` a di Milano.INFN - Section of Milan, Via Celoria 16, Milan, ItalyAbstractThe “no-go” theorem of Nielsen and Ninomiya has been the most tena-cious obstacle against the construction of a chiral gauge theory with reason-able low energy spectrum, ...