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Quantum meaning of classical field theory
Abstract
Recent researches have shown that it is possible to obtain information about the physical content of nontrivial quantum field theories by semiclassical methods. This article reviews some of these investigations. We discuss how solutions to field equations, treated as classical, $c$-number nonlinear differential equations, expose unexpected states in the quantal Hilbert space with novel quantum numbers which arise from topological properties of the classical field configuration or from the mixing of internal and space-time symmetries. Also imaginary-time, $c$-number solutions are reviewed. It is shown that they provide nonperturbative information about the vacuum sector of the quantum theory.
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Citations
Cites
Symmetry Breaking through Bell-Jackiw Anomalies
't Hooft, G. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.8 · Cited by 3,362
Cited by
On anomalous electroweak baryon-number non-conservation in the early universe
Kuzmin, V. A., Rubakov, V. A., & Shaposhnikov, M. E. (1985) · Physics Letters B · doi:10.1016/0370-2693(85)91028-7 · Cited by 3,008
Witten, E. (1979) · Physics Letters B · doi:10.1016/0370-2693(79)90838-4 · Cited by 963
Unification of Yang-Mills theory and supergravity in ten dimensions
Chapline, G. F., & Manton, N. S. (1983) · Physics Letters B · doi:10.1016/0370-2693(83)90633-0 · Cited by 554
Currie, J. F., Krumhansl, J. A., Bishop, A. R., & Trullinger, S. E. (1980) · Physical Review B · doi:10.1103/physrevb.22.477 · Cited by 517
Planar Yang-Mills theory: Hamiltonian, regulators and mass gap
Karabali, D., Kim, C., & Nair, V. P. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00309-5 · Cited by 82
Metadata
- Authors
- Jackiw, R.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1977-07-01
- Volume
- 49
- Issue
- 3
- Pages
- 681-706
- ISSN
- 0034-6861 (ISSN-L)
- OpenAlex
- W2085022500
- Cited by
- 744
- References
- 1
- FWCI
- 45.38
- Type
- journal article
- Language
- en
- Open access
- closed
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