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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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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
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Strings in less than one dimension
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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
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
Mazur, P. O., & Mottola, E. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90268-i · Cited by 165
Nonlocal gravity. Conceptual aspects and cosmological predictions
Belgacem, E., Dirian, Y., Foffa, S., & Maggiore, M. (2018) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2018/03/002 · Cited by 161
The Yang-Lee edge singularity on a dynamical planar random surface
Staudacher, M. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90432-d · Cited by 139
Liouville quantum gravity — holography, JT and matrices
Mertens, T. G., & Turiaci, G. J. (2021) · Journal of High Energy Physics · doi:10.1007/jhep01(2021)073 · Cited by 130
Simplicial quantum gravity in more than two dimensions
Godfrey, N., & Gross, M. (1991) · Physical Review D · doi:10.1103/physrevd.43.r1749 · Cited by 93
A perturbative CFT dual for pure NS–NS AdS 3 strings
Eberhardt, L. (2022) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/ac47b2 · Cited by 93
Nonlocal Infrared Modifications of Gravity. A Review
Maggiore, M. (2016) · arXiv · doi:10.48550/arxiv.1606.08784 · Cited by 77
Nonlocal Infrared Modifications of Gravity. A Review
Maggiore, M. (2017) · Fundamental Theories of Physics · doi:10.1007/978-3-319-51700-1_16 · Cited by 75
Stability of renormalizable expansions in three-dimensional gravity
Mizoguchi, S., & Yamamoto, H. (1994) · Physical Review D · doi:10.1103/physrevd.50.7351 · Cited by 1
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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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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