Chiral interactions pose significant challenges for regularization due to the γ5 Dirac matrix, which is intrinsically four-dimensional. Dimensional regularizations, while widely employed in gauge theories, encounter challenges when treating γ5 in d≠4 dimensions, potentially leading to violations of chiral symmetry and the emergence of spurious anomalies. In this work, we examine aspects of Implicit Regularization, a framework formulated to operate in the physical dimension, thereby potentially avoiding ambiguities associated with γ5. We discuss its implementation and implications for symmetry preservation in chiral gauge theories.
Cherchiglia et al. (Thu,) studied this question.