Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Supertranslations from Scattering Amplitudes

Journal Article · · Physical Review Letters
DOI:https://doi.org/10.1103/fxdk-5qwc· OSTI ID:3007350
On shell methods have found a new application to local observables such as asymptotic radiation fields and gravitational waveforms. While these observables are invariant under small gauge transformations, they are known to depend on a choice of asymptotic gauge; in gravity on asymptotically Minkowski spacetimes, this is a choice of Bondi-Van der Burg-Metzner-Sachs frame. In this Letter, we provide a method for capturing these supertranslations, to all orders in perturbation theory, using the on shell framework of scattering amplitudes.
Research Organization:
The Pennsylvania State University, University Park, PA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0019066
OSTI ID:
3007350
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 135; ISSN 1079-7114; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (77)

Asymptotic dynamics in perturbative quantum gravity and BMS supertranslations journal January 2018
What can be measured asymptotically? journal January 2024
BMS supertranslation symmetry implies Faddeev-Kulish amplitudes journal February 2018
Classical and quantum results on logarithmic terms in the soft theorem in four dimensions journal February 2019
Resummed spinning waveforms from five-point amplitudes journal February 2024
An eikonal-inspired approach to the gravitational scattering waveform journal March 2024
New symmetries for the gravitational S-matrix journal April 2015
Scalar asymptotic charges and dual large gauge transformations journal April 2019
Supertranslation-invariant dressed Lorentz charges journal April 2022
BMS supertranslations and Weinberg’s soft graviton theorem journal May 2015
Classical solutions and their double copy in split signature journal May 2021
Proof of the classical soft graviton theorem in D = 4 journal June 2020
NS-NS spacetimes from amplitudes journal June 2022
The sub-leading scattering waveform from amplitudes journal June 2023
One-loop gravitational bremsstrahlung and waveforms from a heavy-mass effective field theory journal June 2023
Inelastic exponentiation and classical gravitational scattering at one loop journal June 2023
Large gauge effects and the structure of amplitudes journal June 2023
Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $$ \mathcal{O}\left({G}^2\right) $$ journal June 2024
Cosmology and the classical limit of the S-matrix journal June 2024
Erratum to: The Poincaré and BMS flux-balance laws with application to binary systems journal June 2024
The uncertainty principle and classical amplitudes journal June 2024
On BMS invariance of gravitational scattering journal July 2014
Asymptotic symmetries of QED and Weinberg’s soft photon theorem journal July 2015
An improved framework for computing waveforms journal July 2024
Radiation and reaction at one loop journal July 2024
Semiclassical Virasoro symmetry of the quantum gravity S $$ \mathcal{S} $$ -matrix journal August 2014
Angular momentum of zero-frequency gravitons journal August 2022
Construction of an asymptotic S matrix for perturbative quantum gravity journal October 2013
Logarithmic terms in the soft expansion in four dimensions journal October 2018
The Poincaré and BMS flux-balance laws with application to binary systems journal October 2020
Null to time-like infinity Green’s functions for asymptotic symmetries in Minkowski spacetime journal November 2015
Gravitational Bremsstrahlung in black-hole scattering at $$ \mathcal{O}\left({G}^3\right) $$: linear-in-spin effects journal November 2024
Asymptotic symmetries of gravity and soft theorems for massive particles journal December 2015
Classical sub-subleading soft photon and soft graviton theorems in four spacetime dimensions journal December 2020
Spinning waveforms in cubic effective field theories of gravity journal December 2024
BMS Charges Without Supertranslation Ambiguity journal May 2022
Republication of: Conformal treatment of infinity journal November 2010
A holographic reduction of Minkowski space–time journal August 2003
Angular momentum loss in gravitational scattering, radiation reaction, and the Bondi gauge ambiguity journal November 2022
Classical gravitational observables from the Eikonal operator journal August 2023
Note on the Bondi-Metzner-Sachs Group journal May 1966
On angular momentum of stationary gravitating systems journal July 1979
Perturbative gravity at null infinity journal November 2014
Self-force effects in post-Minkowskian scattering journal April 2022
Corrigendum: Self-force effects in post-Minkowskian scattering (2022 Class. Quantum Grav.  39 095001) journal August 2024
Revisiting gravitational angular momentum and mass dipole losses in the eikonal framework journal January 2025
The SAGEX review on scattering amplitudes Chapter 14: Classical gravity from scattering amplitudes journal November 2022
Observational signature of the logarithmic terms in the soft-graviton theorem journal July 2019
Compact binary coalescences: The subtle issue of angular momentum journal February 2020
Radiative contribution to classical gravitational scattering at the third order in G journal December 2020
Waveforms from amplitudes journal September 2022
Angular momentum and memory effect journal May 2023
Erratum: Conserved charges of the extended Bondi-Metzner-Sachs algebra [Phys. Rev. D 95 , 044002 (2017)] journal September 2023
Angular momentum balance in gravitational two-body scattering: Flux, memory, and supertranslation invariance journal November 2023
Comparing one-loop gravitational bremsstrahlung amplitudes to the multipolar-post-Minkowskian waveform journal December 2023
Leading-order gravitational radiation to all spin orders journal February 2024
Post-Newtonian multipoles from the next-to-leading post-Minkowskian gravitational waveform journal May 2024
Gravitational waveforms: A tale of two formalisms journal June 2024
Spinning waveforms from the Kosower-Maybee-O’Connell formalism at leading order journal August 2024
Gravitational wave forms for extreme mass ratio collisions from supersymmetric gauge theories journal February 2025
Supertranslation ambiguity in post-Minkowskian expansion journal January 2025
Christodoulou's nonlinear gravitational-wave memory: Evaluation in the quadrupole approximation journal November 1991
Gravitational-wave bursts with memory: The Christodoulou effect journal January 1992
Axiomatic approach to radiation reaction of scalar point particles in curved spacetime journal August 2000
Collinear and soft divergences in perturbative quantum gravity journal November 2011
Asymptotic symmetries and subleading soft graviton theorem journal December 2014
Conserved charges of the extended Bondi-Metzner-Sachs algebra journal February 2017
Can scalars have asymptotic symmetries? journal February 2018
Coulombic contribution to angular momentum flux in general relativity journal March 2019
Symmetries of Asymptotically Flat Four-Dimensional Spacetimes at Null Infinity Revisited journal September 2010
Radiated Angular Momentum and Dissipative Effects in Classical Scattering journal September 2022
Supertranslation-Invariant Formula for the Angular Momentum Flux in Gravitational Scattering journal January 2023
Three Puzzles with Covariance and Supertranslation Invariance of Angular Momentum Flux and Their Solutions journal April 2024
Nonlinear nature of gravitation and gravitational-wave experiments journal September 1991
Spinning waveforms of scalar radiation in quadratic modified gravity journal January 2025
Aspects of the BMS/CFT correspondence
  • Barnich, Glenn; Troessaert, Cédric
  • Proceedings of Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity — PoS(CNCFG2010) https://doi.org/10.22323/1.127.0010
conference April 2011
Supertranslation invariance of angular momentum journal January 2021

Similar Records

Memory in de Sitter space and Bondi-Metzner-Sachs-like supertranslations
Journal Article · Tue Jul 11 20:00:00 EDT 2017 · Physical Review D · OSTI ID:1536340

Superrotation charge and supertranslation hair on black holes
Journal Article · Tue May 30 20:00:00 EDT 2017 · Journal of High Energy Physics (Online) · OSTI ID:1374982