Analytical and numerical study of a model of dynamically triangulated random surfaces
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In 3d, if and only if each cycle of the 2-complex is even, we can thicken faces, edges and vertices of the 2-complex, obtaining a 3 manifold with boundaries whose spine is the 2-complex.
“If, and only if, each cycle (a loop that bounds a face) of the 2-complex is even, we can 'thicken' faces, edges and vertices of the 2-complex, obtaining a 3 manifold with boundaries, whose spine is the 2-complex .”
From Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space (2000) · cites this paper as [25]
In 3d, one can characterize the 2-complexes that are derived from triangulations.
“In 3d, one can nicely characterize the 2-complexes that are derived from triangulations [25].”
From Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space (2000) · cites this paper as [25]
If in addition each component of the boundary of this manifold is a sphere, we can fill the sphere with a ball, and obtain a triangulated manifold whose dual 2-skeleton is the 2-complex.
“If, in addition, each component of the boundary of this manifold is a sphere, we can then fill the sphere with a ball, and obtain a triangulated manifold, whose dual 2-skeleton is the 2-complex.”
From Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space (2000) · cites this paper as [25]
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- Authors
- Boulatov, D. V., Kazakov, V. A., Kostov, I. K., & Migdal, A. A.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1986-12
- Volume
- 275
- Issue
- 4
- Pages
- 641-686
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2067604926
- Cited by
- 375
- References
- 20
- Citations by year
- 2026: 4 · 2025: 4 · 2024: 4 · 2023: 7 · 2022: 3 · 2020: 5 · 2019: 6 · 2018: 4 · 2017: 2 · 2016: 7 · 2015: 2 · 2014: 6 · 2013: 2 · 2012: 9
- FWCI
- 10.92
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nuclear Physics B (publishedVersion)
- Topics
- 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
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- random triangulations, mean square displacement, surface area scaling, exactly solvable models, phase diagram, power-law scaling
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