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Propagating spinors on a tetrahedral spacetime lattice

2003/10/17 by Brendan Z. Foster, Ted Jacobson, Foster, Brendan Z. +1 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #gr-qc #hep-lat #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.hep-th/0310166

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

arxiv created 2004/03/09 · arxiv updated 2009/12/01

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/sqrt3)B.

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