Abstract

Dimensional Regularization (DR) is the most powerful tool to handle renormalization in perturbative Quantum Field Theory. It allows indeed a very effective way to satisfy the symmetry requirements in gauge theory. The limitations of the method arise from the definition of \(\gamma _5\), which has been the most controversial point, since the work of ’t Hooft and Veltman. After a short introduction on renormalization and the regularization problems, the definition of \(\gamma _5\) in DR is considered in the light of the axial anomaly.

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