Managing γ[subscript 5] in Dimensional Regularization II: the Trace with more γ[subscript 5]’s
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10773_2016_3211_ReferencePDF.pdf
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Author(s)
Ferrari, Ruggero
Alternative Title
Managing γ5 in Dimensional Regularization II: the Trace with more γ5’s
Date Issued
December 2016
Journal
International Journal of Theoretical Physics
Publisher
Springer US
Citation
Ferrari, Ruggero. “Managing γ 5 in Dimensional Regularization II: The Trace with More γ 5’s.” International Journal of Theoretical Physics 56.3 (2017): 691–705.
Version
Author's final manuscript
Abstract
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 γ[subscript 5]. 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 γ[subscript 5]. The final goal is an unconstrained definition of γ[subscript 5] 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 γ[subscript 5], e.g. in the use of dimensional regularization of infrared and collinear divergences.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s10773-016-3211-8
