### 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) |
---|---|

Pages (from-to) | 1045-1053 |

Number of pages | 9 |

Journal | Journal of Mathematical Physics |

Volume | 35 |

Issue number | 3 |

State | Published - 1994 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*35*(3), 1045-1053.

**Nonrenormalization theorem for the Abelian anomaly within dimensional regularization.** / Gabadadze, G. T.; Pivovarov, A. A.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 35, no. 3, pp. 1045-1053.

}

TY - JOUR

T1 - Nonrenormalization theorem for the Abelian anomaly within dimensional regularization

AU - Gabadadze, G. T.

AU - Pivovarov, A. A.

PY - 1994

Y1 - 1994

N2 - 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 γ5 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 π0-→2γ decay amplitude is briefly considered.

AB - 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 γ5 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 π0-→2γ decay amplitude is briefly considered.

UR - http://www.scopus.com/inward/record.url?scp=36448999813&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36448999813&partnerID=8YFLogxK

M3 - Article

VL - 35

SP - 1045

EP - 1053

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 3

ER -