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The exact mass gap of the O(N) σ-model for arbitrary N ⩾ 3 in d = 2
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In the citing paper
“This is consistent with the fact that the circle reduced theory (keeping only zero KK modes), namely the O(N ) vector model in d = 2 (equivalent to the O(N ) σ-model in the IR) famously has a mass gap for N ≥ 3 [52][53][54][55][56][57][58][59].”
From Casimir energy and modularity in higher-dimensional conformal field theories (2023) · cites this paper as [59]
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 15
- Hasenfratz, 1990, Phys. Lett. B, 245, 522, 10.1016/0370-2693(90)90685-Y · DOI · Paper page
- Polyakov, 1983, Phys. Lett. B, 131, 121, 10.1016/0370-2693(83)91104-8 · DOI · Paper page
- Wiegmann, 1985, Phys. Lett. B, 152, 209, 10.1016/0370-2693(85)91171-2 · DOI · Paper page
- 1985, JETP Lett., 41, 95
- Zamolodchikov, 1979, Ann. Phys. (NY), 120, 253, 10.1016/0003-4916(79)90391-9 · DOI
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- 1976, Phys. Rev. B, 14, 3110, 10.1103/PhysRevB.14.3110 · DOI · Paper page
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Cited by
Casimir energy and modularity in higher-dimensional conformal field theories
Luo, C., & Wang, Y. (2023) · Journal of High Energy Physics · doi:10.1007/jhep07(2023)028 · Cited by 27
Metadata
- Authors
- Hasenfratz, P., & Niedermayer, F.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 1990-08
- Volume
- 245
- Issue
- 3-4
- Pages
- 529-532
- ISSN
- 0370-2693
- Cited by
- 158
- References
- 0
- Language
- en
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.
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Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: The exact mass gap of the O(N) σ-model for arbitrary N ⩾ 3 in d = 2. https://app.cochat.ai/papers/10.1016/0370-2693(90)90686-z
- The paper
- Hasenfratz, P., & Niedermayer, F. (1990). The exact mass gap of the O(N) σ-model for arbitrary N ⩾ 3 in d = 2. Physics Letters B. https://doi.org/10.1016/0370-2693(90)90686-z
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.