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arXiv · hep-lat/0205005

Chiral fermions on the lattice

Oliver Jahn·Jan M. Pawlowski
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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.

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Oliver Jahn, Jan M. Pawlowski. 2002-05-06. Chiral fermions on the lattice. https://doi.org/10.1016/s0550-3213(02)00639-9

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