Work

Chiral Symmetry in Implicit Regularization: A Review

Year: 2026

Type: article

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.

Source: Symmetry

DOI: 10.3390/sym18010160

Authors: Adriano Cherchiglia, Ricardo J. C. Rosado, Marcos Sampaio, Brigitte Hiller

Institutions: Universidade Estadual de Campinas (UNICAMP), Centro de Física da Universidade de Coimbra, University of Coimbra, Federal Center for Technological Education of Minas Gerais

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação para a Ciência e a Tecnologia