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Abstract
En 中文
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. (C) 2013 Elsevier Inc. All rights reserved.
Keywords:
Lattice field theory
Spin and statistics
Fermion doubling
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