The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
The planar approximation. II
Abstract
The planar approximation is reconsidered. It is shown that a saddle point method is ineffective, due to the large number of degrees of freedom. The problem of eliminating angular variables is illustrated on a simple model coupling two N×N matrices.
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Citations
Cites
A planar diagram theory for strong interactions
Hooft, G. '. (1974) · Nuclear Physics B · doi:10.1016/0550-3213(74)90154-0 · Cited by 4,476
A two-dimensional model for mesons
't Hooft, G. (1974) · Nuclear Physics B · doi:10.1016/0550-3213(74)90088-1 · Cited by 1,625
The Classical Groups: Their Invariants and Representations
Weyl, H. (1947) · doi:10.1515/9781400883905 · Cited by 1,603
Brézin, E., Itzykson, C., Parisi, G., & Zuber, J. B. (1978) · Communications in Mathematical Physics · doi:10.1007/bf01614153 · Cited by 1,479
Self-citationA Census of Planar Triangulations
Tutte, W. T. (1962) · Canadian Journal of Mathematics · doi:10.4153/cjm-1962-002-9 · Cited by 581
Nonunitary bogoliubov transformations and extension of Wick’s theorem
Balian, R., & Brézin, E. (1969) · Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B · doi:10.1007/bf02710281 · Cited by 305
Some 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
Cited by
Intersection theory on the moduli space of curves and the matrix airy function
Kontsevich, M. (1992) · Communications in Mathematical Physics · doi:10.1007/bf02099526 · Cited by 1,472
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
Exactly solvable field theories of closed strings
Brézin, E., & Kazakov, V. A. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90818-q · Cited by 1,211
Nonperturbative two-dimensional quantum gravity
Gross, D. J., & Migdal, A. A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.127 · Cited by 1,013
Black holes and random matrices
Cotler, J. S., Gur-Ari, G., Hanada, M., Polchinski, J., Saad, P., Shenker, S. H., Stanford, D., Streicher, A., & Tezuka, M. (2017) · Journal of High Energy Physics · doi:10.1007/jhep05(2017)118 · Cited by 562
Metadata
- Authors
- Itzykson, C., & Zuber, J.-B.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1980-03-01
- Volume
- 21
- Issue
- 3
- Pages
- 411-421
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2023322777
- Cited by
- 961
- References
- 7
- FWCI
- 6.47
- Type
- journal article
- Language
- en
- Open access
- closed
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- Itzykson, C., & Zuber, J.-B. (1980). The planar approximation. II. Journal of Mathematical Physics. https://doi.org/10.1063/1.524438
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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.
