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Quantum sine-Gordon equation as the massive Thirring model
Abstract
The sine-Gordon equation is the theory of a massless scalar field in one space and one time dimension with interaction density proportional to $cos\ensuremath{\beta}\ensuremath{\phi}$, where $\ensuremath{\beta}$ is a real parameter. I show that if ${\ensuremath{\beta}}^{2}$ exceeds $8\ensuremath{\pi}$, the energy density of the theory is unbounded below; if ${\ensuremath{\beta}}^{2}$ equals $4\ensuremath{\pi}$, the theory is equivalent to the zero-charge sector of the theory of a free massive Fermi field; for other values of $\ensuremath{\beta}$, the theory is equivalent to the zero-charge sector of the massive Thirring model. The sine-Gordon soliton is identified with the fundamental fermion of the Thirring model.
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Metadata
- Authors
- Coleman, S.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1975-04-15
- Volume
- 11
- Issue
- 8
- Pages
- 2088-2097
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2118840919
- Cited by
- 1,766
- References
- 0
- FWCI
- 48.44
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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