Managing gamma₅ in Dimensional Regularization and ABJ Anomaly

2014/03/17 by Ruggero Ferrari, Ferrari, Ruggero
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.1403.4212

Minor improvements of the text. Results unchanged

openalex publication_date 2014/03/17 · arxiv created 2015/02/28 · arxiv updated 2015/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An integral representation is proposed for the trace involving gamma₅ in dimensional regularization. Lorentz covariance is preserved. ABJ anomaly naturally follows. The Local Functional Equation associated to x-dependent chiral transformations is verified.

Citations

• The Advantage of Rightmost Ordering for gamma5 in Dimensional Regularization
• Axial-Vector Vertex in Spinor Electrodynamics

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• Addressing γ₅ in Nondimensional Regularizations: A Case Study on the Bumblebee Model
• The Advantage of Rightmost Ordering for gamma5 in Dimensional Regularization
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