The Yang-Lee edge singularity on a dynamical planar random surface
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Computer simulations suggest strongly that transitive percolation possesses a continuum limit and exhibits scaling behavior in that limit with p scaling roughly like c log n/n.
“Moreover, computer simulations suggest strongly that the model possesses a continuum limit and exhibits scaling behavior in that limit with p scaling roughly like c log n/n [12, 13].”
From Classical sequential growth dynamics for causal sets (1999) · cites this paper as [13]
Transitive percolation with constant p yields causets which could reproduce at best only limited portions of Minkowski space.
“We have seen that transitive percolation with constant p yields causets which could reproduce - at best - only limited portions of Minkowski space.”
From Classical sequential growth dynamics for causal sets (1999) · cites this paper as [13]
To do better than transitive percolation with constant p, one would have to scale p so that it decreased with increasing n.
“To do any better, one would have to scale p so that it decreased with increasing n [12, 13, 15].”
From Classical sequential growth dynamics for causal sets (1999) · cites this paper as [13]
Cites
Brézin, E., Itzykson, C., Parisi, G., & Zuber, J. B. (1978) · Communications in Mathematical Physics · doi:10.1007/bf01614153 · Cited by 1,479 · 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
Classical sequential growth dynamics for causal sets
Rideout, D. P., & Sorkin, R. D. (1999) · Physical Review D · doi:10.1103/physrevd.61.024002 · Cited by 332 · see citing works
2D dilaton-gravity, deformations of the minimal string, and matrix models
Turiaci, G. J., Usatyuk, M., & Weng, W. W. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac25df · Cited by 73 · see citing works
Eichhorn, A., & Koslowski, T. (2014) · Physical Review D · doi:10.1103/physrevd.90.104039 · Cited by 51 · see citing works
- Authors
- Staudacher, M.
- Affiliations
- University of Illinois Urbana-Champaign (US)
- Corresponding author
- Staudacher, Matthias
- ORCID
- Staudacher, Matthias
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1990-06
- Volume
- 336
- Issue
- 3
- Pages
- 349-362
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2051819366
- Cited by
- 139
- References
- 1
- Citations by year
- 2025: 2 · 2024: 4 · 2023: 4 · 2022: 4 · 2021: 9 · 2020: 2 · 2019: 2 · 2018: 4 · 2017: 3 · 2016: 5 · 2015: 5 · 2014: 11 · 2013: 2 · 2012: 6
- FWCI
- 4.55
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nuclear Physics B (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Yang-Lee edge singularity, random planar graphs, Ising model, critical exponents, string susceptibility, central charge, multicritical behavior, spherical model, exactly solvable models, random surfaces
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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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