The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Eigenvalue spectrum of interacting massive fermions in one dimension
Abstract
The excitation spectrum of massive fermions with self-interaction moving in one space dimension is calculated, using exact solutions for the spin-1/2 chain problem. This spectrum is shown to be the same as in the massive Thirring model, sine-Gordon equation, and Tomonaga-Luttinger with gap, with suitable relations between coupling constants. Solitons and bound solitons occur, corresponding to magnons and bound magnons in the spin chain. The soliton mass is calculated as a function of lattice spacing, and the ratio of binding energy to soliton mass is shown to be given correctly by the WKB approximation.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Soliton operators for the quantized sine-Gordon equation
Mandelstam, S. (1975) · Physical Review D · doi:10.1103/physrevd.11.3026 · Cited by 914
Cited by
Voit, J. (1995) · Reports on Progress in Physics · doi:10.1088/0034-4885/58/9/002 · Cited by 1,284
Quantum meaning of classical field theory
Jackiw, R. (1977) · Reviews of Modern Physics · doi:10.1103/revmodphys.49.681 · Cited by 744
Exact expectation values of local fields in the quantum sine-Gordon model
Lukyanov, S., & Zamolodchikov, A. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(97)00123-5 · Cited by 385
Amit, D. J., Goldschmidt, Y. Y., & Grinstein, S. (1980) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/13/2/024 · Cited by 377
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
- Luther, A.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1976-09-01
- Volume
- 14
- Issue
- 5
- Pages
- 2153-2159
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W1986478536
- Cited by
- 312
- References
- 1
- FWCI
- 18.21
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
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.
