The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Path-Integral Measure for Gauge-Invariant Fermion Theories
Abstract
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.
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Citations
Cites
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
Symmetry Breaking through Bell-Jackiw Anomalies
't Hooft, G. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.8 · Cited by 3,362
A PCAC puzzle: π0→γγ in the σ-model
Bell, J. S., & Jackiw, R. (1969) · Il Nuovo Cimento A · doi:10.1007/bf02823296 · Cited by 3,284
Anomalous Ward Identities in Spinor Field Theories
Bardeen, W. A. (1969) · Physical Review · doi:10.1103/physrev.184.1848 · Cited by 1,093
Cited by
Alvarez-Gaumé, L., & Witten, E. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90066-x · Cited by 1,268
Topological response in Weyl semimetals and the chiral anomaly
Zyuzin, A. A., & Burkov, A. A. (2012) · Physical Review B · doi:10.1103/physrevb.86.115133 · Cited by 906
A construction of lattice chiral gauge theories
Narayanan, R., & Neuberger, H. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00111-5 · Cited by 721
Chern–Simons modified general relativity
Alexander, S., & Yunes, N. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.07.002 · Cited by 715
Physical aspects of the space–time torsion
Shapiro, I. L. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00030-8 · Cited by 671
Metadata
- Authors
- Fujikawa, K.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1979-04-30
- Volume
- 42
- Issue
- 18
- Pages
- 1195-1198
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1979772196
- Cited by
- 1,345
- References
- 4
- FWCI
- 6.63
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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