### 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.

Original language | English |
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Pages (from-to) | 4449-4475 |

Number of pages | 27 |

Journal | Journal of Mathematical Physics |

Volume | 39 |

Issue number | 9 |

DOIs | |

Publication status | Published - 1998 Sep |

Externally published | Yes |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Hattori, T., & Watanabe, H. (1998). Mathematical derivation of chiral anomaly in lattice gauge theory with Wilson's action.

*Journal of Mathematical Physics*,*39*(9), 4449-4475. https://doi.org/10.1063/1.532519