4-dimensional BF gravity on the lattice
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Matrix models were first created to formulate two-dimensional quantum gravity, then Boulatov extended them to three dimensions where the model yields the Ponzano-Regge-Turaev-Viro spin foam formulation of 3D quantum gravity, and Ooguri extended them to four dimensions where the model yields the Crane-Yetter spin foam formulation of 4D BF theory.
“Matrix models were invented more than 15 years ago to give a precise formulation of 2D quantum gravity (or 'zero-dimensional string theory') [83][84][85][86][87], then generalized to three dimensions by Boulatov [88], whose model gives the Ponzano-Regge-Turaev-Viro (spin foam) formulation of 3D quantum gravity (still a topological theory)”
From Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity (2001) · cites this paper as [89]
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Cites
Discreteness of area and volume in quantum gravity
Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365 · see citing works
TOPOLOGICAL LATTICE MODELS IN FOUR DIMENSIONS
OOGURI, H. (1992) · Modern Physics Letters A · doi:10.1142/s0217732392004171 · Cited by 379 · see citing works
A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY
BOULATOV, D. V. (1992) · Modern Physics Letters A · doi:10.1142/s0217732392001324 · Cited by 326 · see citing works
Ooguri, H. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90188-h · Cited by 76 · see citing works
Four-dimensional BF theory as a topological quantum field theory
Baez, J. C. (1996) · Letters in Mathematical Physics · doi:10.1007/bf00398315 · Cited by 75 · see citing works
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Research works printed but not linked: 1
- [8]8. ity, ed. J. Baez (Oxford U.Press, 1994); Lett. Math. Phys. 38 (1996) 129; Class. Quant. Grav. 15 (1998) 1827; gr-qc/990587; M. Reisenberger and C. Rovelli, Phys. Rev. D56 (1997) 3490; L. Freidel and K. Krasnov, Adv. Theor. Phys. 2 (1998) 1221. - [16] L. Crane and D. Yetter, A categorical construction of 4d TQFTs, in Quantum Topology, eds. L. Kauffman and R. Baadhio (World Scientific, Singapore, 1993) pp.120. - [17] L. Crane, L. Kauffman and D. Yetter, J. Knot Theory & Ramifiations 6 (1997) 177; J. Roberts, Topology 34 (1995) 771. - [18] T. Regge, Nuovo Cimento 19 (1961) 558. - [19] N. Kawamoto and H.B. Nielsen, Phys. Rev. D43 (1991) 1150. - [20] M. Caselle, A. D'adda, and L. Magnea, Phys. Lett. B232 (1989) 457. - [21] J.F. Plebanski, J. Math. Phys. 18 (1977) 2511; A. Ashtekar, Phys. Rev. Lett. 57 (1986) 2244; Phys. Rev. D36 (1987) 1587; R. Capovilla, J. Dell, T. Jacobson and L. Mason, Phys. Rev. Lett. 63 (1989) 2325; Class. Quantum Grav. 8 (1991) 41. - [22] N. Kawamoto and Y. Watabiki, Commun. Math. Phys. 144 (1992) 641; Mod. Phys. Lett. A7 (1992) 1137; Commun. Math. Phys. 148 (1992) 169. - [23] N. Kawamoto and Y. Watabiki, Phys. Rev. D45 (1992) 605; Nucl. Phys. B396 (1993) 326. - [24] N. Kawamoto, Prog. Theor. Phys. Suppl. No. 134 (1999) 84. - [25] M. Kalb and P. Ramond, Phys. Rev. D9 (1974) 2273; Y. Nambu, Phys. Rep. 23C (1976) 250. - [26] C. Rovelli and L. Smolin, Nucl. Phys. B442 (1995) 593; Erratum, ibid. B456 (1995) 753. - [27] D.A. Varshalovich, A.N. Moskalev, and V.K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, 1988). - [28] J. Ambjørn, M. Carfora, A. Marzuoli, The Geometry of Dynamical Triangulations (Springer-Verlag, 1997). - [29] N.H. Christ, R. Friedberg, T.D. Lee, Nucl. Phys. B202 (1982) 89. - [30] E. Witten, Commun. Math. Phys. 117 (1988) 353; Int. J. Mod. Phys. A6 (1991) 2775; Nucl. Phys. B340 (1990) 281; J.Math.Phys. 35 (1994) 5101. - [31] N. Kawamoto and T. Tsukioka, hep-th/9905222. · arXiv
- Authors
- Kawamoto, N., Sato, N., & Uchida, Y.
- Affiliations
- Hokkaido University (JP)
- Corresponding author
- Sato, Noriaki
- Uchida, Yukiya
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2000-05
- Volume
- 574
- Issue
- 3
- Pages
- 809-848
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2031384706
- Cited by
- 12
- References
- 5
- Citations by year
- 2024: 1 · 2023: 1 · 2022: 1 · 2020: 1 · 2017: 2
- FWCI
- 0.90
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Ministry of Education, Culture, Sports, Science and Technology (09640330)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- 4-simplex, topological gravity, local Lorentz invariance, gauge fixing, link variables, higher-dimensional gravity
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