Chiral fermions on the lattice

Details Chiral fermions on the lattice Chiral fermions on the lattice

2002-05-06

arxiv.org/abs/hep-lat/0205005v1

Nucl.Phys. B642 (2002) 357-371

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, latex, no figures

Scientific paper

10.1016/S0550-3213(02)00639-9

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.

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