Radiated Angular Momentum and Dissipative Effects in Classical Scattering

Manohar, Aneesh V.; Ridgway, Alexander K.; Shen, Chia-Hsien

doi:10.1103/PhysRevLett.129.121601

Title: Radiated Angular Momentum and Dissipative Effects in Classical Scattering

Journal Article · Mon Sep 12 00:00:00 EDT 2022 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.129.121601· OSTI ID:1886697

Manohar, Aneesh V.; Ridgway, Alexander K.;

We present a new formula for the angular momentum J^μν carried away by gravitational radiation in classical scattering. This formula, combined with the known expression for the radiated linear momentum P^μ, completes the set of radiated Poincaré charges due to scattering. We parametrize P^μ and J^μν by nonperturbative form factors and derive exact relations using the Poincaré algebra. There is a contribution to J^μν due to static (zero-frequency) modes, which can be derived from Weinberg’s soft theorem. Using tools from scattering amplitudes and effective field theory, we calculate the radiated J^μν due to the scattering of two spinless particles to third order in Newton’s constant G, but to all orders in velocity. Our form-factor analysis elucidates a novel relation found by Bini, Damour, and Geralico between energy and angular momentum loss at O(G³). Our new results have several nontrivial implications for binary scattering at O(G⁴). We give a procedure to bootstrap an effective radiation reaction force from the loss of Poincaré charges due to scattering.

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Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009919

OSTI ID:: 1886697

Alternate ID(s):: OSTI ID: 1980321

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 129 Journal Issue: 12; ISSN 0031-9007

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (67)

Gravitational Bremsstrahlung in the post-Minkowskian effective field theory Mougiakakos, Stavros; Riva, Massimiliano Maria; Vernizzi, Filippo Physical Review D, Vol. 104, Issue 2 https://doi.org/10.1103/PhysRevD.104.024041	journal	July 2021
Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at O(G4) Bern, Zvi; Parra-Martinez, Julio; Roiban, Radu Physical Review Letters, Vol. 128, Issue 16 https://doi.org/10.1103/PhysRevLett.128.161103	journal	April 2022
Erratum: Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies [Phys. Rev. D 55 , 6030 (1997)] Gopakumar, A.; Iyer, Bala R.; Iyer, Sai Physical Review D, Vol. 57, Issue 10 https://doi.org/10.1103/PhysRevD.57.6562	journal	May 1998
Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-Eccentricity Expansion Dlapa, Christoph; Kälin, Gregor; Liu, Zhengwen Physical Review Letters, Vol. 128, Issue 16 https://doi.org/10.1103/PhysRevLett.128.161104	journal	April 2022
Classical space–times from the S-matrix Neill, Duff; Rothstein, Ira Z. Nuclear Physics B, Vol. 877, Issue 2 https://doi.org/10.1016/j.nuclphysb.2013.09.007	journal	December 2013
Radiative contribution to classical gravitational scattering at the third order in $G$ Damour, Thibault Physical Review D, Vol. 102, Issue 12 https://doi.org/10.1103/PhysRevD.102.124008	journal	December 2020
Dynamics of binary systems to fourth Post-Minkowskian order from the effective field theory approach Dlapa, Christoph; Kälin, Gregor; Liu, Zhengwen Physics Letters B, Vol. 831 https://doi.org/10.1016/j.physletb.2022.137203	journal	August 2022
Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies Gopakumar, A.; Iyer, Bala R.; Iyer, Sai Physical Review D, Vol. 55, Issue 10 https://doi.org/10.1103/PhysRevD.55.6030	journal	May 1997
Self-force effects in post-Minkowskian scattering Gralla, Samuel E.; Lobo, Kunal Classical and Quantum Gravity, Vol. 39, Issue 9 https://doi.org/10.1088/1361-6382/ac5d88	journal	April 2022
Post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies Iyer, Bala R.; Will, Clifford M. Physical Review D, Vol. 52, Issue 12 https://doi.org/10.1103/PhysRevD.52.6882	journal	December 1995
Amplitudes, observables, and classical scattering Kosower, David A.; Maybee, Ben; O’Connell, Donal Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)137	journal	February 2019
From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion Cheung, Clifford; Rothstein, Ira Z.; Solon, Mikhail P. Physical Review Letters, Vol. 121, Issue 25 https://doi.org/10.1103/PhysRevLett.121.251101	journal	December 2018
Energetics of two-body Hamiltonians in post-Minkowskian gravity Antonelli, Andrea; Buonanno, Alessandra; Steinhoff, Jan Physical Review D, Vol. 99, Issue 10 https://doi.org/10.1103/PhysRevD.99.104004	journal	May 2019
Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity Riva, Massimiliano Maria; Vernizzi, Filippo Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)228	journal	November 2021
Gravitational Bremsstrahlung from Reverse Unitarity Herrmann, Enrico; Parra-Martinez, Julio; Ruf, Michael S. Physical Review Letters, Vol. 126, Issue 20 https://doi.org/10.1103/PhysRevLett.126.201602	journal	May 2021
Coulombic contribution to angular momentum flux in general relativity Bonga, Béatrice; Poisson, Eric Physical Review D, Vol. 99, Issue 6 https://doi.org/10.1103/PhysRevD.99.064024	journal	March 2019
From boundary data to bound states. Part III. Radiative effects Cho, Gihyuk; Kälin, Gregor; Porto, Rafael A. Journal of High Energy Physics, Vol. 2022, Issue 4 https://doi.org/10.1007/JHEP04(2022)154	journal	April 2022
Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order Bern, Zvi; Cheung, Clifford; Roiban, Radu Physical Review Letters, Vol. 122, Issue 20 https://doi.org/10.1103/PhysRevLett.122.201603	journal	May 2019
Black hole binary dynamics from the double copy and effective theory Bern, Zvi; Cheung, Clifford; Roiban, Radu Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)206	journal	October 2019
Radiation reaction and angular momentum loss in small angle gravitational scattering Damour, Thibaut; Deruelle, Nathalie Physics Letters A, Vol. 87, Issue 3 https://doi.org/10.1016/0375-9601(81)90567-3	journal	December 1981
A new improved energy-momentum tensor Callan, Curtis G.; Coleman, Sidney; Jackiw, Roman Annals of Physics, Vol. 59, Issue 1 https://doi.org/10.1016/0003-4916(70)90394-5	journal	July 1970
Extracting Einstein from the loop-level double-copy Carrasco, John Joseph M.; Vazquez-Holm, Ingrid A. Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)088	journal	November 2021
Effective one-body approach to general relativistic two-body dynamics Buonanno, A.; Damour, T. Physical Review D, Vol. 59, Issue 8 https://doi.org/10.1103/PhysRevD.59.084006	journal	March 1999
Self-torque and angular momentum balance for a spinning charged sphere Bonga, Béatrice; Poisson, Eric; Yang, Huan American Journal of Physics, Vol. 86, Issue 11 https://doi.org/10.1119/1.5054590	journal	November 2018
The g1 problem: Deep inelastic electron scattering and the spin of the proton Jaffe, R. L.; Manohar, Aneesh Nuclear Physics B, Vol. 337, Issue 3 https://doi.org/10.1016/0550-3213(90)90506-9	journal	June 1990
Gravitational Radiation Damping of Slowly Moving Systems Calculated Using Matched Asymptotic Expansions Burke, William L. Journal of Mathematical Physics, Vol. 12, Issue 3 https://doi.org/10.1063/1.1665603	journal	March 1971
Gravitational Waves: Volume 1: Theory and Experiments Maggiore, Michele https://doi.org/10.1093/acprof:oso/9780198570745.001.0001	book	October 2007
Radiation and the classical double copy for color charges Goldberger, Walter D.; Ridgway, Alexander K. Physical Review D, Vol. 95, Issue 12 https://doi.org/10.1103/PhysRevD.95.125010	journal	June 2017
Radiative 3.5 post-Newtonian ADM Hamiltonian for many-body point-mass systems Jaranowski, Piotr; Schäfer, Gerhard Physical Review D, Vol. 55, Issue 8 https://doi.org/10.1103/PhysRevD.55.4712	journal	April 1997
Radiative classical gravitational observables at $$ \mathcal{O} $$(G3) from scattering amplitudes Herrmann, Enrico; Parra-Martinez, Julio; Ruf, Michael S. Journal of High Energy Physics, Vol. 2021, Issue 10 https://doi.org/10.1007/JHEP10(2021)148	journal	October 2021
Simplifying D -dimensional physical-state sums in gauge theory and gravity Kosmopoulos, Dimitrios Physical Review D, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevD.105.056025	journal	March 2022
Radiation reaction at 3.5 post-Newtonian order in effective field theory Galley, Chad R.; Leibovich, Adam K. Physical Review D, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevD.86.044029	journal	August 2012
Scalar QED as a toy model for higher-order effects in classical gravitational scattering Bern, Zvi; Gatica, Juan Pablo; Herrmann, Enrico Journal of High Energy Physics, Vol. 2022, Issue 8 https://doi.org/10.1007/JHEP08(2022)131	journal	August 2022
Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory Jakobsen, Gustav Uhre; Mogull, Gustav; Plefka, Jan Physical Review Letters, Vol. 126, Issue 20 https://doi.org/10.1103/PhysRevLett.126.201103	journal	May 2021
Effective field theory of gravity for extended objects Goldberger, Walter D.; Rothstein, Ira Z. Physical Review D, Vol. 73, Issue 10 https://doi.org/10.1103/PhysRevD.73.104029	journal	May 2006
The Poincaré and BMS flux-balance laws with application to binary systems Compère, Geoffrey; Oliveri, Roberto; Seraj, Ali Journal of High Energy Physics, Vol. 2020, Issue 10 https://doi.org/10.1007/JHEP10(2020)116	journal	October 2020
Scattering Amplitudes and Conservative Binary Dynamics at $O (G^{4})$ Bern, Zvi; Parra-Martinez, Julio; Roiban, Radu Physical Review Letters, Vol. 126, Issue 17 https://doi.org/10.1103/PhysRevLett.126.171601	journal	April 2021
Conservative and radiative dynamics in classical relativistic scattering and bound systems Saketh, M. V. S.; Vines, Justin; Steinhoff, Jan Physical Review Research, Vol. 4, Issue 1 https://doi.org/10.1103/PhysRevResearch.4.013127	journal	February 2022
The eikonal approach to gravitational scattering and radiation at $$ \mathcal{O} $$(G3) Di Vecchia, Paolo; Heissenberg, Carlo; Russo, Rodolfo Journal of High Energy Physics, Vol. 2021, Issue 7 https://doi.org/10.1007/JHEP07(2021)169	journal	July 2021
The amplitude for classical gravitational scattering at third Post-Minkowskian order Bjerrum-Bohr, N. Emil J.; Damgaard, Poul H.; Planté, Ludovic Journal of High Energy Physics, Vol. 2021, Issue 8 https://doi.org/10.1007/JHEP08(2021)172	journal	August 2021
Gravitational radiation reaction along general orbits in the effective one-body formalism Bini, Donato; Damour, Thibault Physical Review D, Vol. 86, Issue 12 https://doi.org/10.1103/PhysRevD.86.124012	journal	December 2012
Infrared divergences and the eikonal exponentiation Heissenberg, Carlo Physical Review D, Vol. 104, Issue 4 https://doi.org/10.1103/PhysRevD.104.046016	journal	August 2021
Classical gravitational scattering from a gauge-invariant double copy Brandhuber, Andreas; Chen, Gang; Travaglini, Gabriele Journal of High Energy Physics, Vol. 2021, Issue 10 https://doi.org/10.1007/JHEP10(2021)118	journal	October 2021
Energy Correlations in Electron-Positron Annihilation: Testing Quantum Chromodynamics Basham, C. Louis; Brown, Lowell S.; Ellis, Stephen D. Physical Review Letters, Vol. 41, Issue 23 https://doi.org/10.1103/PhysRevLett.41.1585	journal	December 1978
Radiation reaction from soft theorems Di Vecchia, Paolo; Heissenberg, Carlo; Russo, Rodolfo Physics Letters B, Vol. 818 https://doi.org/10.1016/j.physletb.2021.136379	journal	July 2021
High-energy gravitational scattering and the general relativistic two-body problem Damour, Thibault Physical Review D, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevD.97.044038	journal	February 2018
Universality of ultra-relativistic gravitational scattering Di Vecchia, Paolo; Heissenberg, Carlo; Russo, Rodolfo Physics Letters B, Vol. 811 https://doi.org/10.1016/j.physletb.2020.135924	journal	December 2020
Post-Newtonian gravitational radiation reaction for two-body systems Iyer, B. R.; Will, Clifford M. Physical Review Letters, Vol. 70, Issue 2 https://doi.org/10.1103/PhysRevLett.70.113	journal	January 1993
Novel Approach to Binary Dynamics: Application to the Fifth Post-Newtonian Level Bini, Donato; Damour, Thibault; Geralico, Andrea Physical Review Letters, Vol. 123, Issue 23 https://doi.org/10.1103/PhysRevLett.123.231104	journal	December 2019
VI. On the motion of the lorentz electron Schott, G. A. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 29, Issue 169 https://doi.org/10.1080/14786440108635280	journal	January 1915
Higher-order gravitational deflection and soft bremsstrahlung in planckian energy superstring collisions Amati, D.; Ciafaloni, M.; Veneziano, G. Nuclear Physics B, Vol. 347, Issue 3 https://doi.org/10.1016/0550-3213(90)90375-N	journal	December 1990
Conservative and Radiative Dynamics of Spinning Bodies at Third Post-Minkowskian Order Using Worldline Quantum Field Theory Jakobsen, Gustav Uhre; Mogull, Gustav Physical Review Letters, Vol. 128, Issue 14 https://doi.org/10.1103/PhysRevLett.128.141102	journal	April 2022
Infrared Photons and Gravitons Weinberg, Steven Physical Review, Vol. 140, Issue 2B https://doi.org/10.1103/PhysRev.140.B516	journal	October 1965
On a basic conceptual confusion in gravitational radiation theory Ashtekar, Abhay; Bonga, Béatrice Classical and Quantum Gravity, Vol. 34, Issue 20 https://doi.org/10.1088/1361-6382/aa88e2	journal	September 2017
From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist) Kälin, Gregor; Porto, Rafael A. Journal of High Energy Physics, Vol. 2020, Issue 2 https://doi.org/10.1007/JHEP02(2020)120	journal	February 2020
Multipolar radiation reaction in general relativity Blanchet, Luc; Damour, Thibaut Physics Letters A, Vol. 104, Issue 2 https://doi.org/10.1016/0375-9601(84)90967-8	journal	August 1984
Flux-balance equations for linear momentum and center-of-mass position of self-gravitating post-Newtonian systems Blanchet, Luc; Faye, Guillaume Classical and Quantum Gravity, Vol. 36, Issue 8 https://doi.org/10.1088/1361-6382/ab0d4f	journal	April 2019
Radiation reaction and gravitational waves in the effective field theory approach Galley, Chad R.; Tiglio, Manuel Physical Review D, Vol. 79, Issue 12 https://doi.org/10.1103/PhysRevD.79.124027	journal	June 2009
Gravitational radiation from color-kinematics duality Shen, Chia-Hsien Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)162	journal	November 2018
Gravitational scattering, post-Minkowskian approximation, and effective-one-body theory Damour, Thibault Physical Review D, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevD.94.104015	journal	November 2016
The 21/2-POST-NEWTONIAN Equations of Hydrodynamics and Radiation Reaction in General Relativity Chandrasekhar, S.; Esposito, F. Paul The Astrophysical Journal, Vol. 160 https://doi.org/10.1086/150414	journal	April 1970
Nonradial Pulsation of General-Relativistic Stellar Models.IV. The Weakfield Limit Thorne, Kip S. The Astrophysical Journal, Vol. 158 https://doi.org/10.1086/150259	journal	October 1969
Radiative contributions to gravitational scattering Bini, Donato; Damour, Thibault; Geralico, Andrea Physical Review D, Vol. 104, Issue 8 https://doi.org/10.1103/PhysRevD.104.084031	journal	October 2021
Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies Jakobsen, Gustav Uhre; Mogull, Gustav; Plefka, Jan Physical Review Letters, Vol. 128, Issue 1 https://doi.org/10.1103/PhysRevLett.128.011101	journal	January 2022
Gravitational radiation reaction in the equations of motion of compact binaries to 3.5 post-Newtonian order Nissanke, Samaya; Blanchet, Luc Classical and Quantum Gravity, Vol. 22, Issue 6 https://doi.org/10.1088/0264-9381/22/6/008	journal	March 2005
From boundary data to bound states Kälin, Gregor; Porto, Rafael A. Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/JHEP01(2020)072	journal	January 2020
On an exponential representation of the gravitational S-matrix Damgaard, Poul H.; Planté, Ludovic; Vanhove, Pierre Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)213	journal	November 2021

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