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Chiral Symmetry in Implicit Regularization: A Review

Authors: Cherchiglia, A.; Rosado, RJC; Sampaio, M.; Hiller, B.

Ref.: Symmetry (Basel) 18(1), 160 (2026)

Abstract: Chiral interactions pose significant challenges for regularization due to the gamma 5 Dirac matrix, which is intrinsically four-dimensional. Dimensional regularizations, while widely employed in gauge theories, encounter challenges when treating gamma 5 in d not equal 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 gamma 5. We discuss its implementation and implications for symmetry preservation in chiral gauge theories.

DOI: 10.3390/sym18010160