Mathematical Derivation of Chiral Anomaly in Lattice Gauge Theory with Wilson's Action

Details Mathematical Derivation of Chiral Anomaly in Lattice Gauge Theory with Wilson's Action Mathematical Derivation of Chiral Anomaly in Lattice Gauge Theory with Wilson's Action

1997-08-13

arxiv.org/abs/hep-lat/9708007v1

J.Math.Phys. 39 (1998) 4449-4475

Physics

High Energy Physics

High Energy Physics - Lattice

33 pages, LaTeX

Scientific paper

10.1063/1.532519

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.

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