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Path Integrals and Quantum Anomalies

Kazuo Fujikawa and Hiroshi Suzuki


This book provides an introduction to the path integral formulation of quantum field theory and its applications to the analyses of symmetry breaking by the quantization procedure. This symmetry breaking is commonly called the ‘quantum anomaly’ or simply the ‘anomaly’, and this naming shows that the effect first appeared as an exceptional phenomenon in field theory. However, it is shown that this effect has turned out to be very fundamental in modern field theory. In the path integral formulation, it has been recognized that this effect arises from a non-trivial Jacobian in the change of path ... More

Keywords: path integral formulation, quantum field theory, symmetry breaking, modern field theory, non-trivial Jacobian, path integral measure, quantum theory

Bibliographic Information

Print publication date: 2004 Print ISBN-13: 9780198529132
Published to Oxford Scholarship Online: September 2007 DOI:10.1093/acprof:oso/9780198529132.001.0001


Affiliations are at time of print publication.

Kazuo Fujikawa, author
Dept of Physics, University of Tokyo, Japan

Hiroshi Suzuki, author
Dept of Mathematical Sciences, Ibaraki University, Japan