### Abstract

An approach to the calculation of the Abelian axial anomaly within the dimensional regularization is proposed. This approach allows one to make all computations consistently in the framework of a perturbation theory to any number of loops by using the ordinary dimensional regularization. Handling of the γ_{5} matrix in the anomaly calculation requires only the possibility of cycle permutation under the trace sign. Our procedure leads to a normalization of the axial current that differs by a finite amount from that of the corresponding vector current. The question of normalization of the axial current in relation to the π^{0}-→2γ decay amplitude is briefly considered.

Original language | English (US) |
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Pages (from-to) | 1045-1053 |

Number of pages | 9 |

Journal | Journal of Mathematical Physics |

Volume | 35 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 1994 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

*Journal of Mathematical Physics*,

*35*(3), 1045-1053. https://doi.org/10.1063/1.530627