How to treat $γ_5$

Details How to treat $γ_5$ How to treat $γ_5$

1996-08-09

arxiv.org/abs/hep-th/9608058v4

Int.J.Mod.Phys. A13 (1998) 2991-3050

Physics

High Energy Physics

High Energy Physics - Theory

LATEX 59 pages; 15 figures

Scientific paper

10.1142/S0217751X98001505

We present a method to perform renormalized perturbation calculation in gauge theories with chiral fermions. We find it proper to focus directly on the Ward-Takahashi identities, relegating dimensional regularization into a supplementary and secondary role. We show with the example of the Abelian-Higgs theory how to handle amplitudes involving fermions, particularly how to handle the matrix $\gamma_5$. As a demonstration of our method of renormalization, we evaluate the radiative corrections of the triangular anomaly in the Abelian-Higgs theory with appropriate number of chiral fermions. This anomaly amplitude is calculated without any regularization and is found to vanish.

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