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Effect of Anomalies on Quasi-Renormalizable Theories
Abstract
Apparently nonrenormalizable field theories, such as the new models for weak interactions, can become renormalizable when gauge invariance of the second kind is present. However, the anomaly associated with the axial-vector current may destroy this gauge invariance in perturbation theory, even though it is present in the Lagrangian. When this happens the theory remains nonrenormalizable. Nevertheless it is possible, by enlarging the theory, to remove the anomaly at the expense of introducing additional fermion fields, which correspond to as-yet-unobserved particles.
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Citations
Cites
Anomalous Ward Identities in Spinor Field Theories
Bardeen, W. A. (1969) · Physical Review · doi:10.1103/physrev.184.1848 · Cited by 1,093
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D'Hoker, E., & Phong, D. H. (1988) · Reviews of Modern Physics · doi:10.1103/revmodphys.60.917 · Cited by 676
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Shapiro, I. L. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00030-8 · Cited by 671
The structure of gauge and gravitational anomalies
Alvarez-Gaumé, L., & Ginsparg, P. (1985) · Annals of Physics · doi:10.1016/0003-4916(85)90087-9 · Cited by 512
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Bertlmann, R. A. (2000) · doi:10.1093/acprof:oso/9780198507628.001.0001 · Cited by 465
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Giunti, C., & Studenikin, A. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.531 · Cited by 433
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Connes, A., & Marcolli, M. (2007) · Colloquium Publications · doi:10.1090/coll/055 · Cited by 368
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Jackiw, R., & Johnson, K. (1973) · Physical Review D · doi:10.1103/physrevd.8.2386 · Cited by 329
Self-citationGauge Theories Without Anomalies
Georgi, H., & Glashow, S. L. (1972) · Physical Review D · doi:10.1103/physrevd.6.429 · Cited by 299
The Schwinger model and its axial anomaly
Manton, N. S. (1985) · Annals of Physics · doi:10.1016/0003-4916(85)90199-x · Cited by 292
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Measuring topological invariants from generalized edge states in polaritonic quasicrystals
Baboux, F., Levy, E., Lemaître, A., Gómez, C., Galopin, E., Le Gratiet, L., Sagnes, I., Amo, A., Bloch, J., & Akkermans, E. (2017) · Physical Review B · doi:10.1103/physrevb.95.161114 · Cited by 90
Metadata
- Authors
- Gross, D. J., & Jackiw, R.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1972-07-15
- Volume
- 6
- Issue
- 2
- Pages
- 477-493
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2119951960
- Cited by
- 529
- References
- 1
- FWCI
- 15.15
- Type
- journal article
- Language
- en
- Open access
- closed
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