Abstract
We compute the Chern-Simons current induced by lattice fermions on a d(=2 n+1)-dimensional lattice, using a topological interpretation of the fermion propagator as a map from the torus to the sphere, T d → S d . 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 to a domain wall.
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