Managing gamma_5 in Dimensional Regularization and ABJ Anomaly

Abstract

An integral representation is proposed for the trace involving gamma_5 in dimensional regularization. Lorentz covariance is preserved. ABJ anomaly naturally follows. The Local Functional Equation associated to x-dependent chiral transformations is verified.

Minor improvements of the text. Results unchanged

References in corpus (4)

• A Weak Power-Counting Theorem for the Renormalization of the Non-Linear Sigma Model in Four Dimensions
• BRS symmetry restoration of chiral Abelian Higgs-Kibble theory in dimensional renormalization with a non-anticommuting ${\gamma }_5$
• Gauge Invariant Treatment of ${\gamma }_5$ in the Scheme of 't Hooft and Veltman
• The Advantage of Rightmost Ordering for gamma5 in Dimensional Regularization

Cited by in corpus (3)

• Weighted power counting and chiral dimensional regularization
• Managing ${\gamma }_5$ in Dimensional Regularization II: the Trace with more ${\gamma }_5$
• The axial anomaly, dimensional regularization and Lorentz-violating QED