Hattori, T., Watanabe, H.
Mathematical Derivation of Chiral Anomaly
in Lattice Gauge Theory with Wilson's Action
(79K, LaTeX)
ABSTRACT. Chiral $U(1)$ anomaly is derived with mathematical rigor
for a Euclidean fermion coupled to a smooth external $U(1)$ gauge field
on an even dimensional torus
as a continuum limit of lattice regularized fermion field theory
with the Wilson term in the action.
The present work rigorously proves for the first time that
the Wilson term correctly reproduces the chiral anomaly.