Propagating spinors on a tetrahedral spacetime lattice

Abstract

We derive a discrete path integral for massless fermions on a hypercubic spacetime lattice with null faces. The amplitude for a path with N steps and B bends is +/- (1/2)^N (i/sqrt{3})^B.

Comments: 4 pages, 1 figure; v.2: added demonstration that fermion doubling does not occur, added appendix proving convergence, other minor changes of presentation