Path-Integral Measure for Gauge-Invariant Fermion Theories

Kazuo Fujikawa

doi:10.1103/physrevlett.42.1195

Path-Integral Measure for Gauge-Invariant Fermion Theories

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Kazuo Fujikawa

書誌事項

公開日: 1979-04-30

権利情報

http://link.aps.org/licenses/aps-default-license

DOI

10.1103/physrevlett.42.1195

公開者: American Physical Society (APS)

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説明

It is shown that the path-integral measure for gauge-invariant fermion theories is not invariant under the ${\ensuremath{\gamma}}_{5}$ transformation and the Jacobian gives rise to an extra phase factor corresponding to the Adler-Bell-Jackiw anomaly. The derivation of "anomalous" Ward-Takahashi identities by means of the variational derivative can thus be made consistent in the path-integral formalism.