Managing γ 5 in Dimensional Regularization II: the Trace with more γ 5’s
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- 作者：Ruggero Ferrari
- 关键词：Gamma_5 ; Dimensional renormalization ; Anomaly
- 刊名：International Journal of Theoretical Physics
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：56
- 期：3
- 页码：691-705
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Physics, general; Quantum Physics; Elementary Particles, Quantum Field Theory; Theoretical, Mathematical and Computational Physics;
- 出版者：Springer US
- ISSN：1572-9575
- 卷排序：56
文摘
In the present paper we evaluate the anomaly for the abelian axial current in a non abelian chiral gauge theory, by using dimensional regularization. This amount to formulate a procedure for managing traces with more than one γ5. The suggested procedure obeys Lorentz covariance and cyclicity, at variance with previous approaches (e.g. the celebrated ’t Hooft and Veltman’s where Lorentz is violated). The result of the present paper is a further step forward in the program initiated by a previous work on the traces involving a single γ5. The final goal is an unconstrained definition of γ5 in dimensional regularization. Here, in the evaluation of the anomaly, we profit of the axial current conservation equation, when radiative corrections are neglected. This kind of tool is not always exploited in field theories with γ5, e.g. in the use of dimensional regularization of infrared and collinear divergences.