Chiral fermions on the lattice
High Energy Physics - Lattice
2010-04-05 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.hep-lat/0205005,
title = {Chiral fermions on the lattice},
author = {Oliver Jahn and Jan M. Pawlowski},
journal= {arXiv preprint arXiv:hep-lat/0205005},
year = {2010}
}
Comments
16 pages, latex, no figures