### Abstract

The axial anomaly of lattice abelian gauge theory on a hyper-cubic regular lattice in arbitrary even dimensions is investigated by applying the method of exterior differential calculus. The topological invariance, gauge invariance and locality of the axial anomaly determine the explicit form of the topological part. The anomaly is obtained up to a multiplicative constant for finite lattice spacing and can be interpreted as the Chern character of the abelian lattice gauge theory.

Original language | English |
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Pages (from-to) | 63-68 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 463 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 1999 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

**Axial anomaly in lattice abelian gauge theory in arbitrary dimensions.** / Fujiwara, Takanori; Suzuki, Hiroshi; Wu, Ke.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 463, no. 1, pp. 63-68. https://doi.org/10.1016/S0370-2693(99)00956-9

}

TY - JOUR

T1 - Axial anomaly in lattice abelian gauge theory in arbitrary dimensions

AU - Fujiwara, Takanori

AU - Suzuki, Hiroshi

AU - Wu, Ke

PY - 1999/1/1

Y1 - 1999/1/1

N2 - The axial anomaly of lattice abelian gauge theory on a hyper-cubic regular lattice in arbitrary even dimensions is investigated by applying the method of exterior differential calculus. The topological invariance, gauge invariance and locality of the axial anomaly determine the explicit form of the topological part. The anomaly is obtained up to a multiplicative constant for finite lattice spacing and can be interpreted as the Chern character of the abelian lattice gauge theory.

AB - The axial anomaly of lattice abelian gauge theory on a hyper-cubic regular lattice in arbitrary even dimensions is investigated by applying the method of exterior differential calculus. The topological invariance, gauge invariance and locality of the axial anomaly determine the explicit form of the topological part. The anomaly is obtained up to a multiplicative constant for finite lattice spacing and can be interpreted as the Chern character of the abelian lattice gauge theory.

UR - http://www.scopus.com/inward/record.url?scp=10844269760&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10844269760&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(99)00956-9

DO - 10.1016/S0370-2693(99)00956-9

M3 - Article

AN - SCOPUS:10844269760

VL - 463

SP - 63

EP - 68

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1

ER -