ar X iv : 1 30 8 . 36 72 v 1 [ he p - la t ] 1 6 A ug 2 01 3 Emergent spin

نویسنده

  • Michael Creutz
چکیده

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. We will present a minimally doubled variation of staggered fermions describing only two species.

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تاریخ انتشار 2013