Chiral Fermions and Anomalies on a Finite Lattice

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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UCSD/PTH 92-18

Scientific paper

10.1016/0370-2693(92)91113-N

A recent proposal by Kaplan for a chiral gauge theory on the lattice is tested with background gauge fields. The spectrum of the finite lattice Hamiltonian is calculated and the existence of a chiral fermion is demonstrated. Lattice doublers are found to decouple. The flavor anomalies, which are in agreement with the continuum anomaly relation, are obeserved on a finite lattice. Non-trivial anomaly cancellation is observed in a chiral gauge current.

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