Perturbative analysis for Kaplan`s lattice chiral fermions
- Institute of Physics, University of Tsukuba, Tsukuba Ibaraki-305 (Japan)
Perturbation theory for lattice fermions with domain wall mass terms is developed and is applied to investigate the chiral Schwinger model formulated on the lattice by Kaplan`s method. We calculate the effective action for gauge fields to one loop, and find that it contains a longitudinal component even for anomaly-free cases. From the effective action we obtain gauge anomalies and Chern-Simons currents without ambiguity. We also show that the current corresponding to the fermion number has a nonzero divergence and it flows off the wall into the extra dimension. Similar results are obtained for a proposal by Shamir, who used a constant mass term with free boundaries instead of domain walls.
- OSTI ID:
- 142736
- Journal Information:
- Physical Review, D, Vol. 49, Issue 5; Other Information: PBD: 1 Mar 1994
- Country of Publication:
- United States
- Language:
- English
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