Chiral Symmetry in Implicit Regularization: A Review

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Authors: Adriano Cherchiglia, Ricardo J. C. Rosado, Marcos Sampaio, Brigitte Hiller
Cited by: 0
References: 83

Abstract

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.

Fields of Study & Subjects

Particle physics theoretical and experimental studies Quantum Chromodynamics and Particle Interactions Quantum and Classical Electrodynamics

Publication details

Journal / source
Symmetry
Volume
18
Issue
1
Pages
160–160
Publication date
15 January 2026
Language
EN