A spin foam model without bubble divergences
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Regge calculus is a particularly natural way to discretize general relativity on a lattice.
“Regge has found a particularly natural way to discretize GR on a lattice [23], known as Regge calculus.”
From Flipped spinfoam vertex and loop gravity (2008) · cites this paper as [23]
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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
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
Self-citationRelativistic spin networks and quantum gravity
Barrett, J. W., & Crane, L. (1998) · Journal of Mathematical Physics · doi:10.1063/1.532254 · Cited by 404 · see citing works
Baez, J. C. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/7/004 · Cited by 381 · 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
Baez, J. C. (1996) · Advances in Mathematics · doi:10.1006/aima.1996.0012 · Cited by 266 · see citing works
The Quantum Tetrahedron in 3 and 4 Dimensions
Baez, J. C., & Barrett, J. W. (1999) · arXiv · doi:10.48550/arxiv.gr-qc/9903060 · Cited by 146 · see citing works
Causal evolution of spin networks
Markopoulou, F., & Smolin, L. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(97)80019-3 · Cited by 134 · see citing works
Quantum tetrahedra and simplicial spin networks
Barbieri, A. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00093-5 · Cited by 113 · see citing works
Projector on physical states in loop quantum gravity
Rovelli, C. (1999) · Physical Review D · doi:10.1103/physrevd.59.104015 · Cited by 95 · 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
A left-handed simplicial action for Euclidean general relativity
Reisenberger, M. P. (1997) · Classical and Quantum Gravity · doi:10.1088/0264-9381/14/7/012 · Cited by 73 · see citing works
On relativistic spin network vertices
Reisenberger, M. P. (1999) · Journal of Mathematical Physics · doi:10.1063/1.532850 · Cited by 72 · see citing works
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LQG vertex with finite Immirzi parameter
Engle, J., Livine, E., Pereira, R., & Rovelli, C. (2008) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2008.02.018 · Cited by 584 · see citing works
Loop-Quantum-Gravity Vertex Amplitude
Engle, J., Pereira, R., & Rovelli, C. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.161301 · Cited by 335 · see citing works
Group Field Theory: An Overview
Freidel, L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8894-1 · Cited by 378 · see citing works
Diffeomorphisms and spin foam models
Freidel, L., & Louapre, D. (2003) · Nuclear Physics B · doi:10.1016/s0550-3213(03)00306-7 · Cited by 155 · see citing works
Complete LQG propagator: Difficulties with the Barrett-Crane vertex
Alesci, E., & Rovelli, C. (2007) · Physical Review D · doi:10.1103/physrevd.76.104012 · Cited by 154 · see citing works
Particle Scattering in Loop Quantum Gravity
Modesto, L., & Rovelli, C. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.191301 · Cited by 93 · see citing works
Self-citationNonperturbative summation over 3D discrete topologies
Freidel, L., & Louapre, D. (2003) · Physical Review D · doi:10.1103/physrevd.68.104004 · Cited by 80 · see citing works
Finiteness of a spinfoam model for Euclidean quantum general relativity
Perez, A. (2001) · Nuclear Physics B · doi:10.1016/s0550-3213(01)00014-1 · Cited by 73 · see citing works
Self-citationPerturbative Finiteness in Spin-Foam Quantum Gravity
Crane, L., Perez, A., & Rovelli, C. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.181301 · Cited by 64 · see citing works
Livine, R. E., & Oriti, D. (2002) · Physical Review D · doi:10.1103/physrevd.65.044025 · Cited by 46 · see citing works
The physical boundary Hilbert space and volume operator in the Lorentzian new spin-foam theory
Ding, Y., & Rovelli, C. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/20/205003 · Cited by 42 · see citing works
Spin foam diagrammatics and topological invariance
Girelli, F., Oeckl, R., & Perez, A. (2002) · Classical and Quantum Gravity · doi:10.1088/0264-9381/19/6/305 · Cited by 39 · see citing works
Self-citationSpin foam quantization and anomalies
Bojowald, M., & Perez, A. (2010) · General Relativity and Gravitation · doi:10.1007/s10714-009-0892-9 · Cited by 35 · see citing works
Self-citationThe volume operator in covariant quantum gravity
Ding, Y., & Rovelli, C. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/16/165003 · Cited by 23 · see citing works
Spinfoam 2D quantum gravity and discrete bundles
Oriti, D., Rovelli, C., & Speziale, S. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/1/006 · Cited by 9 · see citing works
Self-citation
- Authors
- Perez, A., & Rovelli, C.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2001-04
- Volume
- 599
- Issue
- 1-2
- Pages
- 255-282
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2117617693
- Cited by
- 113
- References
- 14
- Citations by year
- 2026: 1 · 2024: 2 · 2021: 1 · 2020: 1 · 2019: 1 · 2018: 2 · 2016: 3 · 2015: 1 · 2014: 4 · 2013: 5 · 2012: 5
- FWCI
- 7.72
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- 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
- spin foam models, Barrett-Crane model, quantum gravity, one-loop divergences, general relativity, cutoff regularization
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