Emergent spin
High Energy Physics - Lattice
2015-06-16 v2
Abstract
Quantum mechanics and relativity in the continuum imply the well known spin-statistics connection. However for particles hopping on a lattice, there is no such constraint. If a lattice model yields a relativistic field theory in a continuum limit, this constraint must "emerge" for physical excitations. We discuss a few models where a spin-less fermion hopping on a lattice gives excitations which satisfy the continuum Dirac equation. This includes such well known systems such as graphene and staggered fermions.
Cite
@article{arxiv.1308.3672,
title = {Emergent spin},
author = {Michael Creutz},
journal= {arXiv preprint arXiv:1308.3672},
year = {2015}
}
Comments
14 pages, 3 figures. Revision has the four dimensional discussion substantially rewritten