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Chiral U(1) anomaly is derived with mathematical rigor for a Euclideanfermion coupled to a smooth external U(1) gauge field on an even dimensionaltorus as a continuum limit of lattice regularized fermion field theory with theWilson term in the action. The present work rigorously proves for the firsttime that the Wilson term correctly reproduces the chiral anomaly.Comment: 33 pages, LaTe

Mathematical derivation of chiral anomaly in lattice gauge theory with Wilson’s action