Diseases of triangulated random surface models, and possible cures
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Harmonic analysis on the homogeneous space S^3=SO(4)/SO(3) yields precisely the simple representations of SO(4).
“Recently, it was pointed out that harmonic analysis on the homogeneous space S 3 = SO(4) / SO(3) yields precisely the simple representations of SO(4) [23].”
From Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space (2000) · cites this paper as [23]
In any dimension, Case B yields the higher-dimensional generalizations of the Barrett-Crane model discussed in [23].
“In any dimension, Case B yields the higher-dimensional generalizations of Barrett-Crane model discussed in [23].”
From Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space (2000) · cites this paper as [23]
Cites
Quantum geometry of bosonic strings
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Quantum field theory techniques in graphical enumeration
Bessis, D., Itzykson, C., & Zuber, J.-B. (1980) · Advances in Applied Mathematics · doi:10.1016/0196-8858(80)90008-1 · Cited by 574 · see citing works
Infrared bounds, phase transitions and continuous symmetry breaking
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Self-citationMandelstam, S. (1974) · Physics Reports · doi:10.1016/0370-1573(74)90034-9 · Cited by 307 · see citing works
Critical behaviour in a model of planar random surfaces
Durhuus, B., Fröhlich, J. M., & Jónsson, T. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90238-4 · Cited by 158 · see citing works
Self-citationSome aspects of the planar perturbation series
Koplik, J., Neveu, A., & NUSSINOV, S. (1977) · Nuclear Physics B · doi:10.1016/0550-3213(77)90344-3 · Cited by 112 · see citing works
Gross, D. J. (1984) · Physics Letters B · doi:10.1016/0370-2693(84)91897-5 · Cited by 79 · see citing works
Billoire, A. H., Gross, D. J., & Marinari, E. (1984) · Physics Letters B · doi:10.1016/0370-2693(84)90038-8 · Cited by 63 · see citing works
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2D gravity and random matrices
Francesco, P. D., Ginsparg, P., & Zinn-Justin, J. (1995) · Physics Reports · doi:10.1016/0370-1573(94)00084-g · Cited by 1,332 · see citing works
Analytical and numerical study of a model of dynamically triangulated random surfaces
Boulatov, D. V., Kazakov, V. A., Kostov, I. K., & Migdal, A. A. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90578-x · Cited by 375 · see citing works
Four-dimensional simplicial quantum gravity
Ambjørn, J., & Jurkiewicz, J. (1992) · Physics Letters B · doi:10.1016/0370-2693(92)90709-d · Cited by 205 · see citing works
Spacetime as a Feynman diagram: the connection formulation
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Two-dimensional quantum gravity in Minkowski space
Banks, T., & O'Loughlin, M. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90547-b · Cited by 192 · see citing works
Perturbative Finiteness in Spin-Foam Quantum Gravity
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Matrix ensembles with global symmetries and ’t Hooft anomalies from 2d gauge theory
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- Authors
- Ambjørn, J., Durhuus, B., & Fröhlich, J.
- Affiliations
- University of Copenhagen (DK)
- Institute for Advanced Study (US)
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1985-01
- Volume
- 257
- Pages
- 433-449
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2015469945
- Cited by
- 645
- References
- 8
- Citations by year
- 2026: 2 · 2025: 4 · 2024: 10 · 2023: 12 · 2022: 3 · 2021: 4 · 2020: 7 · 2019: 33 · 2018: 9 · 2017: 3 · 2016: 10 · 2015: 10 · 2014: 12 · 2013: 10 · 2012: 8
- FWCI
- 11.71
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nuclear Physics B (publishedVersion)
- Research at the University of Copenhagen (University of Copenhagen) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- random surfaces, Nambu-Goto string, string quantization, regularization, divergence problem
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.
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