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Semiclassical bound states in an asymptotically free theory
Abstract
We have carried out a semiclassical calculation of the particle spectrum in the Gross-Neveu model. It is a two-dimensional model with $N$ species of fermions interacting through a symmetrical scalar-scalar interaction and is renormalizable, asymptotically free, and exhibits spontaneous symmetry breaking. We find a rich spectrum of particles which can be interpreted as fermion-antifermion bound states and multifermion bound states. These states fall into supermultiplets whose origin we do not completely understand. The binding mechanism is a vacuum-polarization effect rather than the direct interaction between particles. A general method for handling fermions in semiclassical calculations is developed.
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Citations
Cited by
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Jackiw, R., & Rebbi, C. (1976) · Physical Review D · doi:10.1103/physrevd.13.3398 · Cited by 2,243
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Landsman, N. P., & van Weert, C. G. (1987) · Physics Reports · doi:10.1016/0370-1573(87)90121-9 · Cited by 1,078
Optical absorption from polarons in a model of polyacetylene
Fesser, K., Bishop, A. R., & Campbell, D. K. (1983) · Physical Review B · doi:10.1103/physrevb.27.4804 · Cited by 555
Phase diagram of one-dimensional electron-phonon systems. I. The Su-Schrieffer-Heeger model
Fradkin, E., & Hirsch, J. E. (1983) · Physical Review B · doi:10.1103/physrevb.27.1680 · Cited by 270
Metadata
- Authors
- Dashen, R. F., Hasslacher, B., & Neveu, A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1975-10-15
- Volume
- 12
- Issue
- 8
- Pages
- 2443-2458
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2090762329
- Cited by
- 354
- References
- 0
- FWCI
- 7.52
- Type
- journal article
- Language
- en
- Open access
- closed
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- Dashen, R. F., Hasslacher, B., & Neveu, A. (1975). Semiclassical bound states in an asymptotically free theory. Physical Review D. https://doi.org/10.1103/physrevd.12.2443
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