Chiral Symmetry in Implicit Regularization: A Review

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.