Spin 1/2 as propagation on a lattice with symmetries modulo gauge transformations

Details Spin 1/2 as propagation on a lattice with symmetries modulo gauge transformations Spin 1/2 as propagation on a lattice with symmetries modulo gauge transformations

2001-10-31

arxiv.org/abs/quant-ph/0110175v1

Physics

Quantum Physics

15 pages, no figures

Scientific paper

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.

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