Chern-Simons currents and chiral fermions on the lattice

  title={Chern-Simons currents and chiral fermions on the lattice},
  author={M. Golterman and K. Jansen and D. Kaplan},
  journal={Physics Letters B},
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
Chiral fermions, anomalies and Chern-Simons currents on the lattice
Abstract I discuss the zeromode spectrum of lattice chiral fermions in the domain wall model suggested recently. In particular I give the critical momenta where the fermions cease to be chiral andExpand
The euclidean spectrum of Kaplan's lattice chiral fermions
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Critical momenta of lattice chiral fermions
Abstract We determine the critical momenta for chiral fermions in the domain wall model recently suggested by Kaplan. For a wide range of domain wall masses m and Wilson couplings r we explicitlyExpand
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Superconductivity in strongly correlated electronic systems and confinement versus deconfinement phenomenon.
  • Wiegmann
  • Physics, Medicine
  • Physical review letters
  • 1988
The supersymmetrical gauge theory of strongly correlated electronic systems, based on a geometrical approach to the quantization of the Hubbard model, is presented. It is shown that topologicalExpand