%0 Journal Article %1 Fujikawa:1979ay %A Fujikawa, Kazuo %D 1979 %J Phys. Rev. Lett. %K Anomaly ChiralSymmetry PathIntegral %P 1195 %R 10.1103/PhysRevLett.42.1195 %T Path Integral Measure for Gauge Invariant Fermion Theories %U http://www.slac.stanford.edu/spires/find/hep/www?irn=340073 %V 42 %X It is shown that the path-integral measure for gauge-invariant fermion theories is not invariant under the γ5 transformation and the Jacobian gives rise to an extra phase factor corresponding to the Adler-Bell-Jackiw anomaly. The derivation of änomalous" Ward-Takahashi identities by means of the variational derivative can thus be made consistent in the path-integral formalism.

@article{Fujikawa:1979ay, abstract = {It is shown that the path-integral measure for gauge-invariant fermion theories is not invariant under the γ5 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.}, added-at = {2009-04-21T12:36:23.000+0200}, author = {Fujikawa, Kazuo}, biburl = {https://www.bibsonomy.org/bibtex/24e2207ad430aa222066a8821e15eac4f/gber}, description = {SPIRES-HEP: FIND IRN 340073}, doi = {10.1103/PhysRevLett.42.1195}, interhash = {d2f15943aaf61ece975a2bbeeee60abb}, intrahash = {4e2207ad430aa222066a8821e15eac4f}, journal = {Phys. Rev. Lett.}, keywords = {Anomaly ChiralSymmetry PathIntegral}, pages = 1195, slaccitation = {%%CITATION = PRLTA,42,1195;%%}, timestamp = {2009-04-21T12:36:23.000+0200}, title = {{Path Integral Measure for Gauge Invariant Fermion Theories}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?irn=340073}, volume = 42, year = 1979 }