Particle Scattering in Loop Quantum Gravity
Open accessAbstract
We devise a technique for defining and computing -point functions in the context of a background-independent gravitational quantum field theory. We construct a tentative implementation of this technique in a perturbatively finite model defined using spin foam techniques in the context of loop quantum gravity.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Kiefer, C. (2004) · Cited by 2,981 · see citing works
Rovelli, C. (2004) · doi:10.1017/cbo9780511755804 · Cited by 2,240 · see citing works
Spin foam models for quantum gravity
Perez, A. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/6/202 · Cited by 532 · see citing works
Introduction to Modern Canonical Quantum General RelativityPreprint
Thiemann, T. (2001) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0110034 · Cited by 449 · see citing works
Weaving a classical metric with quantum threads
Ashtekar, A., Rovelli, C., & Smolin, L. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.237 · Cited by 399 · see citing works
Self-citation“Sum over surfaces” form of loop quantum gravity
Reisenberger, M. P., & Rovelli, C. (1997) · Physical Review D · doi:10.1103/physrevd.56.3490 · Cited by 372 · see citing works
Self-citationA “general boundary” formulation for quantum mechanics and quantum gravity
Oeckl, R. (2003) · Physics Letters B · doi:10.1016/j.physletb.2003.08.043 · Cited by 167 · see citing works
Coherent states for canonical quantum general relativity and the infinite tensor product extension
Sahlmann, H., Thiemann, T., & Winkler, O. (2001) · Nuclear Physics B · doi:10.1016/s0550-3213(01)00226-7 · Cited by 148 · see citing works
A spin foam model without bubble divergences
Perez, A., & Rovelli, C. (2001) · Nuclear Physics B · doi:10.1016/s0550-3213(01)00030-x · Cited by 113 · see citing works
Self-citationRelation between polymer and Fock excitations
Ashtekar, A., & Lewandowski, J. (2001) · Classical and Quantum Gravity · doi:10.1088/0264-9381/18/18/102 · Cited by 97 · 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
Separable Hilbert space in loop quantum gravity
Fairbairn, W., & Rovelli, C. (2004) · Journal of Mathematical Physics · doi:10.1063/1.1763247 · Cited by 68 · see citing works
Self-citationPhysical Green's functions in quantum gravity
Tsamis, N. C., & Woodard, R. P. (1992) · Annals of Physics · doi:10.1016/0003-4916(92)90301-2 · Cited by 64 · see citing works
Gluing 4-simplices: A derivation of the Barrett-Crane spin foam model for Euclidean quantum gravity
Oriti, D., & Williams, R. M. (2000) · Physical Review D · doi:10.1103/physrevd.63.024022 · Cited by 54 · see citing works
Minkowski vacuum in background independent quantum gravity
Conrady, F., Doplicher, L., Oeckl, R., Carlo Rovelli, C., & Testa, M. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.69.064019 · Cited by 46 · see citing works
Background independence in a nutshell: the dynamics of a tetrahedron
Colosi, D., Doplicher, L., Fairbairn, W. J., Modesto, L., Noui, K., & Carlo Rovelli, C. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/14/008 · Cited by 46 · see citing works
Self-citationSchrödinger's cat and the clock: lessons for quantum gravity
Oeckl, R. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/24/009 · Cited by 35 · see citing works
Quantum gravity as a “sum over surfaces”
Rovelli, C. (1997) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(97)00351-4 · Cited by 18 · see citing works
Self-citationGeneralized Tomonaga-Schwinger equation from the Hadamard formula
Doplicher, L. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.064037 · Cited by 18 · see citing works
Free vacuum for loop quantum gravity
Conrady, F. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/16/010 · Cited by 13 · see citing works
GENERALIZED SCHRÖDINGER EQUATION IN EUCLIDEAN FIELD THEORY
Conrady, F., & Carlo Rovelli, C. (2004) · International Journal of Modern Physics A · doi:10.1142/s0217751x04019445 · Cited by 12 · see citing works
Global particles, local particlesPreprint
Colosi, D., & Rovelli, C. (2004) · arXiv (Cornell University) · Cited by 9 · see citing works
Self-citation
Flagged first, then by citations
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
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
Semiclassical limit of 4-dimensional spin foam models
Conrady, F., & Freidel, L. (2008) · Physical Review D · doi:10.1103/physrevd.78.104023 · Cited by 213 · 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
“n=1 G[δjna, δin] ( D n − n · n )( D m − n · n ) 〈W |j, i〉, (63) We use the same form of the the Barret-Crane vertex as in [4, 5].”
BackgroundMethodInfluentialPath integral representation of spin foam models of 4d gravity
Conrady, F., & Freidel, L. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/24/245010 · Cited by 98 · see citing works
Towards the graviton from spinfoams: the 3d toy model
Speziale, S. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/05/039 · Cited by 59 · see citing works
The perturbative Regge-calculus regime of loop quantum gravity
Bianchi, E., & Modesto, L. (2008) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2007.12.011 · Cited by 34 · see citing works
Self-citationThe 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
- Authors
- Modesto, L., & Rovelli, C.
- Affiliations
- Centre de Physique Théorique (FR)
- ORCID
- Modesto, Leonardo
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-11-01
- Volume
- 95
- Issue
- 19
- Pages
- 191301-191301
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2066330882
- Cited by
- 93
- References
- 22
- Citations by year
- 2025: 1 · 2022: 1 · 2020: 2 · 2019: 2 · 2018: 1 · 2017: 1 · 2016: 3 · 2015: 3 · 2014: 3 · 2013: 2 · 2012: 3
- FWCI
- 10.70
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion, other-oa)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- 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, particle scattering, n-point functions, spin foam models, perturbative finiteness, quantum gravity
About these checks
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.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
