Propagating spinors on a tetrahedral spacetime lattice
High Energy Physics - Theory
2007-05-23 v2 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Mathematical Physics
math.MP
Quantum Physics
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.
Cite
@article{arxiv.hep-th/0310166,
title = {Propagating spinors on a tetrahedral spacetime lattice},
author = {Brendan Z. Foster and Ted Jacobson},
journal= {arXiv preprint arXiv:hep-th/0310166},
year = {2007}
}
Comments
4 pages, 1 figure; v.2: added demonstration that fermion doubling does not occur, added appendix proving convergence, other minor changes of presentation