The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
General Relativity from Scattering Amplitudes
Open accessAbstract
Weoutline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multigraviton, two-body, on-shell scattering amplitudes between massive fields. Since only long-distance interactions corresponding to nonanalytic pieces need to be included, unitarity cuts provide substantial simplifications for both post-Newtonian and post-Minkowskian expansions. We illustrate this quantum field theoretic approach to classical general relativity by computing the interaction potentials to second order in the post-Newtonian expansion, as well as the scattering functions for two massive objects to second order in the post-Minkowskian expansion. We also derive an all-order exact result for gravitational light-by-light scattering.
Overview
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
Verification
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.
Citations
Cites
Introduction to Quantum Field Theory
Milonni, P. W. (1994) · The Quantum Vacuum · doi:10.1016/b978-0-08-057149-2.50014-x · Cited by 4,040
Quantum Theory of Gravity. I. The Canonical Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.160.1113 · Cited by 3,385
General Relativity – An Einstein Centenary Survey
Irvine, J. M. (1980) · Physics Bulletin · doi:10.1088/0031-9112/31/4/029 · Cited by 2,620
Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Blanchet, L. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-2 · Cited by 2,224
Quantum Theory of Gravity. II. The Manifestly Covariant Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.162.1195 · Cited by 1,765
General relativity as an effective field theory: The leading quantum corrections
Donoghue, J. F. (1994) · Physical Review D · doi:10.1103/physrevd.50.3874 · Cited by 1,294
Quantum Theory of Gravity. III. Applications of the Covariant Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.162.1239 · Cited by 980
Effective field theory of gravity for extended objects
Goldberger, W. D., & Rothstein, I. Z. (2006) · Physical Review D · doi:10.1103/physrevd.73.104029 · Cited by 738
Leading quantum correction to the Newtonian potential
Donoghue, J. F. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.2996 · Cited by 606
The effective field theorist’s approach to gravitational dynamics
Porto, R. A. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.04.003 · Cited by 443
Cited by
Bern, Z., Cheung, C., Roiban, R., Shen, C.-H., Solon, M. P., & Zeng, M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.201603 · Cited by 522
Metadata
- Authors
- Bjerrum-Bohr, N. E. J., Damgaard, P. H., Festuccia, G., Planté, L., & Vanhove, P.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2018-10-25
- Volume
- 121
- Issue
- 17
- Pages
- 171601-171601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2808162249
- Cited by
- 304
- References
- 27
- FWCI
- 16.12
- Type
- journal article
- Language
- en
- Open access
- hybrid
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: General Relativity from Scattering Amplitudes. https://app.cochat.ai/papers/10.1103/physrevlett.121.171601
- The paper
- Bjerrum-Bohr, N. E. J., Damgaard, P. H., Festuccia, G., Planté, L., & Vanhove, P. (2018). General Relativity from Scattering Amplitudes. Physical Review Letters. https://doi.org/10.1103/physrevlett.121.171601
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.