Anomalies and chiral defect fermions
Yigal Shamir
Abstract
Chiral defect fermions in the background of an external, 2n dimensional gauge field are considered. Assuming first a finite extra dimension, we calculate the axial anomaly in a vector-like, gauge invariant model for arbitrary n, and the consistent anomaly in a gauge variant model with a chiral spectrum. For technical reasons, the latter calculation is limited to the 2+1 dimensional case. We also show that the infinite lattice chiral model, when properly defined, is in fact a limiting case of the above gauge-variant model. The behaviour of this model with a dynamical gauge field is discussed.
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