THE ADLER-BARDEEN THEOREM FOR THE AXIAL U(1) ANOMALY IN A GENERAL NON-ABELIAN GAUGE THEORY-Reference-Cited by-同舟云学术

THE ADLER-BARDEEN THEOREM FOR THE AXIAL U(1) ANOMALY IN A GENERAL NON-ABELIAN GAUGE THEORY

Published:1987-04 Issue:02 Volume:02 Page:385-407
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

LUCCHESI CLAUDIO¹,PIGUET OLIVIER¹,SIBOLD KLAUS²

Affiliation:

1. Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland

2. Max Planck-Institut für Physik und Astrophysik, Werner Heisenberg-Institut für Physik, D-8000 Munchen 40, F.R. Germany

Abstract

A general, regularization-scheme-independent proof of the nonrenormalization theorem for the anomaly of a U(1) axial current in a renormalizable gauge theory is presented. The gauge group may be an arbitrary compact Lie group. The validity of the theorem is traced back to some finiteness properties allowing for a well defined but particular choice of the anomaly operators. Whereas in the case of a purely Abelian gauge group this choice amounts to a physically reasonable normalization at zero energy, the general non-Abelian case awaits a deeper understanding.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X87000156

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