The perturbative Regge-calculus regime of loop quantum gravity
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The Regge term coincides with the correlations of areas and angles computed in Regge calculus with a boundary state [10].
“The Regge term coincides with the correlations of areas and angles computed in Regge calculus with a boundary state [10].”
From LQG propagator from the new spin foams (2009) · cites this paper as [10]
The contribution R in (101) matches exactly with the matrix of correlations of areas and angles computed in perturbative quantum Regge calculus with a boundary state as done in [10].
“The contribution R abcd nm in (101) matches exactly with the matrix of correlations of areas and angles computed in perturbative quantum Regge calculus with a boundary state as done in [10].”
From LQG propagator from the new spin foams (2009) · cites this paper as [10]
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- [102][102] E. Alesci and C. Rovelli, 'The complete LQG propagator: I. Difficulties with the BarrettCrane vertex', arXiv:0708.0883 [gr-qc] . - · arXiv
Cited by
Sorted by citations
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
Semiclassical Loop Quantum Black Hole
Modesto, L. (2010) · International Journal of Theoretical Physics · doi:10.1007/s10773-010-0346-x · Cited by 207 · see citing works
Self-citationLQG propagator from the new spin foams
Bianchi, E., Magliaro, E., & Perini, C. (2009) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2009.07.016 · Cited by 126 · see citing works
“Previous attempts to derive the graviton propagator from LQG adopted the Barrett-Crane spin foam vertex [21] as model for the dynamics [7, 8, 9, 10, 11, 12, 13, 14, 15] (see also [22, 23, 24] for investigations in the three-dimensional case).”
MethodInfluentialThe length operator in Loop Quantum Gravity
Eugenio Bianchi, A. (2008) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2008.08.013 · Cited by 105 · see citing works
Self-dual black holes in loop quantum gravity: Theory and phenomenology
Modesto, L., & Prémont-Schwarz, I. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.064041 · Cited by 101 · see citing works
Self-citationComplete LQG propagator. II. Asymptotic behavior of the vertex
Alesci, E., & Rovelli, C. (2008) · Physical Review D · doi:10.1103/physrevd.77.044024 · Cited by 89 · see citing works
Lorentzian spinfoam propagator
Eugenio Bianchi, A., & Ding, Y. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.86.104040 · Cited by 70 · see citing works
LQG propagator: III. The new vertex
Alesci, E., Eugenio Bianchi, A., & Carlo Rovelli, C. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/21/215001 · Cited by 54 · see citing works
Lagrangian approach to the Barrett-Crane spin foam model
Bonzom, V., & Livine, E. R. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.064034 · Cited by 37 · see citing works
Towards the graviton from spinfoams: The complete perturbative expansion of the 3d toy model
Bonzom, V., Livine, E. R., Smerlak, M., & Simone Speziale, D. (2008) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2008.05.012 · Cited by 35 · see citing works
The Euclidean three-point function in loop and perturbative gravity
Rovelli, C., & Zhang, M. (2011) · Classical and Quantum Gravity · doi:10.1088/0264-9381/28/17/175010 · Cited by 31 · see citing works
Semiclassical regime of Regge calculus and spin foams
Bianchi, E., & Satz, A. (2009) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2008.09.005 · Cited by 25 · see citing works
Spin-foam models and the physical scalar product
Alesci, E., Noui, K., & Sardelli, F. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.78.104009 · Cited by 24 · see citing works
Numerical indications on the semiclassical limit of the flipped vertex
Magliaro, E., Perini, C., & Carlo Rovelli, C. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/9/095009 · Cited by 24 · see citing works
The sub-leading asymptotic behaviour of area correlations in the Barrett–Crane model
Christensen, J. D., Khavkine, I., Livine, E. R., & Simone Speziale, D. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/3/035012 · Cited by 22 · see citing works
The Spinfoam Framework for Quantum GravityPreprint
Livine, E. R. (2010) · Cited by 22 · see citing works
Physical boundary state for the quantum tetrahedronPreprint
Livine, E. R., & Simone Speziale, D. (2007) · HAL · Cited by 18 · see citing works
Asymptotics of loop quantum gravity fusion coefficients
Alesci, E., Bianchi, E., Magliaro, E., & Perini, C. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/9/095016 · Cited by 15 · see citing works
A Kirchhoff-like conservation law in Regge calculusPreprint
Gentle, A. P., Kheyfets, A., McDonald, J., & Miller, W. A. (2012) · Cited by 13 · see citing works
TENSORIAL STRUCTURE OF THE LQG GRAVITON PROPAGATOR
Alesci, E. (2008) · International Journal of Modern Physics A · doi:10.1142/s0217751x0804007x · Cited by 10 · see citing works
Intertwiner dynamics in the flipped vertex
Alesci, E., Eugenio Bianchi, A., Magliaro, E., & Perini, C. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/18/185003 · Cited by 10 · see citing works
Simplices and Spectra of Graphs
Mohar, B., & Rivin, I. (2009) · Discrete & Computational Geometry · doi:10.1007/s00454-009-9206-y · Cited by 7 · see citing works
A Kirchhoff-like conservation law in Regge calculus
Gentle, A. P., Kheyfets, A., McDonald, J. R., & Miller, W. A. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/1/015005 · Cited by 7 · see citing works
A Short and Subjective Introduction to the Spinfoam Framework for Quantum GravityPreprint
Livine, E. R. (2011) · arXiv (Cornell University) · doi:10.48550/arxiv.1101.5061 · Cited by 7 · see citing works
Aquilanti, V., Arruda, M. S., Coletti, C., Littlejohn, R. G., & dos Santos, R. F. (2017) · Lecture notes in computer science · doi:10.1007/978-3-319-62404-4_23 · Cited by 6 · see citing works
Riello, A. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.89.064021 · Cited by 4 · see citing works
Simplices and spectra of graphs, continuedPreprint
Mohar, B., & Rivin, I. (2009) · arXiv (Cornell University) · doi:10.48550/arxiv.0901.3284
Complete loop quantum gravity graviton propagator
Alesci, E. (2015)
Semiclassical analysis of loop quantum gravity
Conrady, F. (2006) · edoc Publication server (Humboldt University of Berlin) · doi:10.18452/15549
From the Hamiltonian formalism to the Spin-Foams: The final step in LQG?
Marin, D. (2010) · Unitn-eprints PhD (University of Trento) · doi:10.15168/11572_368076
- Authors
- Bianchi, E., & Modesto, L.
- Affiliations
- Istituto Nazionale di Fisica Nucleare, Sezione di Bologna (IT)
- ORCID
- Modesto, Leonardo
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2008-06
- Volume
- 796
- Issue
- 3
- Pages
- 581-621
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2065070989
- Cited by
- 34
- References
- 119
- Citations by year
- 2017: 1 · 2015: 1 · 2014: 3 · 2012: 2
- FWCI
- 5.65
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- HAL (acceptedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- loop quantum gravity, Regge calculus, semiclassical regime, spin networks, Regge action, 4-simplex, path integral measure, quantum geometry
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