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Phys. Rev. D 34, 3223–3228 (1986)

Simple evaluation of chiral anomalies in the path-integral approach

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Kazuo Fujikawa, Shyuichi Ojima, and Satoshi Yajima
Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725, Japan

Received 16 June 1986; published in the issue dated 15 November 1986

We comment on the relation between Schwinger’s proper-time method and the one-dimensional supersymmetric path-integral method in the evaluation of chiral anomalies in gauge and gravitational interactions. For this purpose, we introduce a modified one-dimensional path integral which is directly related to the proper-time method by a Legendre transformation. This modified scheme provides a simple way of evaluating chiral anomalies. The one-dimensional path-integral method is also shown to work for the trace anomaly in four-dimensional flat space-time.

© 1986 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.34.3223
DOI:
10.1103/PhysRevD.34.3223
PACS:
11.30.Rd, 11.15.Tk