Anomalies and chiral defect fermions

Details Anomalies and chiral defect fermions Anomalies and chiral defect fermions

1993-10-06

arxiv.org/abs/hep-lat/9310006v1

Nucl.Phys. B417 (1994) 167-180

Physics

High Energy Physics

High Energy Physics - Lattice

Weizmann preprint WIS--93/99--OCT--PH, 16 pages, LaTeX

Scientific paper

10.1016/0550-3213(94)90542-8

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 {\it 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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