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FRACTAL STRUCTURE OF 2d—QUANTUM GRAVITY
Abstract
We resolve renormalization problems, indicated in Ref. 1 and find explicit formulae for the spectrum of anomalous dimensions in 2d—quantum gravity. Comparison with combinatorial approximation of random surfaces and its numerical analyses shows complete agreement with all known facts.
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Citations
Cited by
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
Strings in less than one dimension
Douglas, M. R., & Shenker, S. H. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90522-f · Cited by 1,103
Topological expansion for the 1-hermitian matrix model correlation functions.
Eynard, B. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/11/031 · Cited by 407
Quantization of Chern-Simons gauge theory with complex gauge group
Witten, E. (1991) · Communications in Mathematical Physics · doi:10.1007/bf02099116 · Cited by 269
Metadata
- Authors
- KNIZHNIK, V. G., POLYAKOV, A. M., & ZAMOLODCHIKOV, A. B.
- Venue
- Modern Physics Letters A
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1988-07
- Volume
- 03
- Issue
- 08
- Pages
- 819-826
- ISSN
- 0217-7323 (ISSN-L)
- 1793-6632
- OpenAlex
- W1993079947
- Cited by
- 1,376
- References
- 0
- FWCI
- 90.76
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: FRACTAL STRUCTURE OF 2d—QUANTUM GRAVITY. https://app.cochat.ai/papers/10.1142/s0217732388000982
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- KNIZHNIK, V. G., POLYAKOV, A. M., & ZAMOLODCHIKOV, A. B. (1988). FRACTAL STRUCTURE OF 2d—QUANTUM GRAVITY. Modern Physics Letters A. https://doi.org/10.1142/s0217732388000982
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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.
