Chiral fermions on the lattice
Abstract
We discuss topological obstructions to putting chiral fermions on an even-dimensional lattice. The setting includes Ginsparg-Wilson fermions, but is more general. We prove a theorem which relates the total chirality to the difference of generalised winding numbers of chiral projection operators. For an odd number of Weyl fermions this implies that particles and anti-particles live in topologically different spaces.
- Publication:
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Nuclear Physics B
- Pub Date:
- October 2002
- DOI:
- 10.1016/S0550-3213(02)00639-9
- arXiv:
- arXiv:hep-lat/0205005
- Bibcode:
- 2002NuPhB.642..357J
- Keywords:
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- High Energy Physics - Lattice;
- High Energy Physics - Theory
- E-Print:
- 16 pages, latex, no figures