Absence of neutrinos on a lattice (II). Intuitive topological proof
Abstract
An intuitive topological proof is given of the no-go theorem for putting Weyl fermions in weak interaction on a lattice, or for constructing chiral invariant lattice QCD, which was proved by a homotopy theory argument in our preceding paper (Absence I). This theorem hangs on the existence of the charge (e.g. fermion number), and thus on the complex-field formulation and on locality. If we relax the assumptions for the no-go theorem, for instance the existence of the charge, and thus use the real-field formulation, we can construct a model that has only one two-component field. We can assign this model an only approximately conserved charge.
- Publication:
-
Nuclear Physics B
- Pub Date:
- December 1981
- DOI:
- 10.1016/0550-3213(81)90524-1
- Bibcode:
- 1981NuPhB.193..173N