Chern-Simons currents and chiral fermions on the lattice

@article{Golterman1993ChernSimonsCA,
  title={Chern-Simons currents and chiral fermions on the lattice},
  author={M. Golterman and K. Jansen and D. Kaplan},
  journal={Physics Letters B},
  year={1993},
  volume={301},
  pages={219-223}
}
Abstract We compute the Chern-Simons current induced by lattice fermions on a d(=2n+1)-dimensional lattice, using a topological interpretation of the fermion propagator as a map from the torus to the sphere, Td→Sd. Our techniques clarify the dependence of the current on short-distance physics. We show explicitly that for Wilson fermions it changes discontinuously at d+1 different values for the mass m. This result is relevant for a recently proposed model of chiral fermions as zeromodes bound… Expand
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