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Index calculations for the fermion-vortex system
Abstract
A method is developed for calculating the index of first-order operators involving as background fields the scalar and vector fields of the two-dimensional Abelian Higgs model. The method is applied to the Dirac operator and shown to relate the number of fermion zero modes to the topology of the Higgs field.
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Citations
Cited by
The hierarchy problem and new dimensions at a millimeter
Arkani–Hamed, N., Dimopoulos, S., & Dvali, G. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00466-3 · Cited by 6,563
Classification of topological quantum matter with symmetries
Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P., & Ryu, S. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.035005 · Cited by 2,736
Wilczek, F. (2009) · Nature Physics · doi:10.1038/nphys1380 · Cited by 913
Vafek, O., & Vishwanath, A. (2014) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031113-133841 · Cited by 614
Exploring 2-group global symmetries
Córdova, C., Dumitrescu, T. T., & Intriligator, K. (2019) · Journal of High Energy Physics · doi:10.1007/jhep02(2019)184 · Cited by 348
Metadata
- Authors
- Weinberg, E. J.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1981-11-15
- Volume
- 24
- Issue
- 10
- Pages
- 2669-2673
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2172860382
- Cited by
- 253
- References
- 0
- Type
- paratext
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Index calculations for the fermion-vortex system. https://app.cochat.ai/papers/10.1103/physrevd.24.2669
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- Weinberg, E. J. (1981). Index calculations for the fermion-vortex system. Physical Review D. https://doi.org/10.1103/physrevd.24.2669
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
