Spin 1/2 as propagation on a lattice with symmetries modulo gauge transformations
Quantum Physics
2007-05-23 v1 High Energy Physics - Lattice
Abstract
Relativistic spin 1/2, as represented by Susskind's 1977 discretization of the Dirac equation on a spatial lattice, is shown to follow from basic, not typically relativistic but essentially quantum theoretic assumptions: that position eigenstates propagate to nearest neighbours while respecting lattice symmetries modulo gauge transformations.
Cite
@article{arxiv.quant-ph/0110175,
title = {Spin 1/2 as propagation on a lattice with symmetries modulo gauge transformations},
author = {L. Polley},
journal= {arXiv preprint arXiv:quant-ph/0110175},
year = {2007}
}
Comments
15 pages, no figures