ASPECTS OF ANOMALIES IN FIELD THEORY

Author:

FUJIKAWA KAZUO1

Affiliation:

1. Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113, Japan

Abstract

We discuss some formal aspects of quantum anomalies with an emphasis on the regularization of field theory. We briefly review how ambiguities in perturbation theory have been resolved by various regularization schemes. To single out the true quantum anomaly among ambiguities, the combined ideas of PCAC, soft pion limit and renormalizability were essential. As for the formal treatment of quantum anomalies, we mainly discuss the path integral formulation both in continuum and lattice theories. In particular, we discuss in some detail the recent development in the treatment of chiral anomalies in lattice gauge theory.

Publisher

World Scientific Pub Co Pte Lt

Subject

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

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Peccei-Quinn-like symmetries for nonabelian axions;Journal of Physics Communications;2021-04-01

2. Introduction to Anomalies;Texts and Readings in Physical Sciences;2016

3. Chiral Anomalies and Topology;Topology and Geometry in Physics;2004-12-11

4. ANOMALIES IN NONCOMMUTATIVE GAUGE THEORIES, SEIBERG–WITTEN TRANSFORMATION AND RAMOND–RAMOND COUPLINGS;International Journal of Modern Physics A;2004-02-10

5. GENERALIZED GINSPARG–WILSON ALGEBRA AND INDEX THEOREM ON THE LATTICE;International Journal of Modern Physics B;2002-06-20

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