### 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 |
---|---|

Pages (from-to) | 4449-4475 |

Number of pages | 27 |

Journal | Journal of Mathematical Physics |

Volume | 39 |

Issue number | 9 |

Publication status | Published - 1998 Sep |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Mathematical Physics*,

*39*(9), 4449-4475.

**Mathematical derivation of chiral anomaly in lattice gauge theory with Wilson's action.** / Hattori, Tetsuya; Watanabe, Hiroshi.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 39, no. 9, pp. 4449-4475.

}

TY - JOUR

T1 - Mathematical derivation of chiral anomaly in lattice gauge theory with Wilson's action

AU - Hattori, Tetsuya

AU - Watanabe, Hiroshi

PY - 1998/9

Y1 - 1998/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0032353365&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032353365&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0032353365

VL - 39

SP - 4449

EP - 4475

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 9

ER -