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Three-Dimensional Massive Gauge Theories
Abstract
Three-dimensional Yang-Mills and gravity theories augmented by gauge-invariant mass terms are analyzed. These topologically nontrivial additions profoundly alter the particle content of the models and lead to quantization of a dimensionless mass-coupling-constant ratio. The vector field excitations become massive, with spin 1 (rather than massless with spin 0), and the mass provides an infrared cutoff. The gravitation acquires mass, mediates finite-range interactions, and has spin 2 (rather than being absent altogether); although its mass term is of third derivative order, there are no ghosts or acausalities.
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Citations
Cites
A new proof of the positive energy theorem
Witten, E. (1981) · Communications in Mathematical Physics · doi:10.1007/bf01208277 · Cited by 1,595
Cited by
Non-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
Quantum field theory and the Jones polynomial
Witten, E. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01217730 · Cited by 4,758
Topologically massive gauge theories
Deser, S., Jackiw, R., & Templeton, S. (1982) · Annals of Physics · doi:10.1016/0003-4916(82)90164-6 · Cited by 2,740
Self-citationThe Universe in a Helium Droplet
Volovik, G. E. (2009) · doi:10.1093/acprof:oso/9780199564842.001.0001 · Cited by 2,632
2 + 1 dimensional gravity as an exactly soluble system
Witten, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90143-5 · Cited by 2,562
Metadata
- Authors
- Deser, S., Jackiw, R., & Templeton, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1982-04-12
- Volume
- 48
- Issue
- 15
- Pages
- 975-978
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2095543708
- Cited by
- 1,965
- References
- 1
- FWCI
- 19.89
- Type
- journal article
- Language
- en
- Open access
- closed
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