Chiral fermions on the lattice
Abstract
We discuss topological obstructions to putting chiral fermions on an evendimensional lattice. The setting includes GinspargWilson 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 antiparticles live in topologically different spaces.
 Publication:

Nuclear Physics B
 Pub Date:
 October 2002
 DOI:
 10.1016/S05503213(02)006399
 arXiv:
 arXiv:heplat/0205005
 Bibcode:
 2002NuPhB.642..357J
 Keywords:

 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 16 pages, latex, no figures