Conservative and radiative dynamics in classical relativistic scattering and bound systems

Saketh, M. V. S.; Vines, Justin; Steinhoff, Jan; Buonanno, A.

doi:10.1103/physrevresearch.4.013127

Cited by 61 publications

(65 citation statements)

References 44 publications

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“…All three of these approaches for extracting the classical scattering angle match, and agree with the result from the classical approach of Ref. [90].…”

Section: Introductionsupporting

confidence: 81%

“…Such Hamiltonians can be imported into the EOB framework [35,43] used by LIGO for constructing gravitational-wave templates. One can alternatively obtain boundstate physical observables from the ones of hyperbolic scattering processes via appropriate analytic continuation [87][88][89][90]. Cases involving the tail effect are more subtle [91,92].…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the conservative and radiative dynamics in classical relativistic scattering was obtained by Saketh, Vines, Steinhoff, and Buonanno in scalar electrodynamics to the sixth order in the charges or the third order in the fine-structure constant [90]. This was accomplished by the direct iteration of the equations of motion.…”

Section: Introductionmentioning

confidence: 99%

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Scalar QED as a toy model for higher-order effects in classical gravitational scattering

Bern,

Gatica,

Herrmann

et al. 2021

Preprint

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Quantum Electrodynamics (QED) serves as a useful toy model for classical observables in gravitational two-body systems with reduced complexity due to the linearity of QED. We investigate scattering observables in scalar QED at the sixth order in the charges (two-loop order) in a classical regime analogous to the post-Minkowskian expansion in General Relativity. We employ modern scattering amplitude tools and extract classical observables by both eikonal methods and the formalism of Kosower, Maybee, and O'Connell (KMOC). In addition, we provide a simplified approach to extracting the radial action beyond the conservative sector.

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“…All three of these approaches for extracting the classical scattering angle match, and agree with the result from the classical approach of Ref. [90].…”

Section: Introductionsupporting

confidence: 81%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Scalar QED as a toy model for higher-order effects in classical gravitational scattering

Bern,

Gatica,

Herrmann

et al. 2021

Preprint

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show abstract

“…would like to thank the organizers of the workshop "Gravitational scattering, inspiral, and radiation," at the Galileo Galilei Institute for Theoretical Physics in Florence, where the extension of the B2B correspondence to the radiative sector was presented for the first time. 14 Note added: While the results of this project were prepared for submission, the work of [85] appeared which has some overlap with the analysis in §3.1- §3.3 restricted to the case of spinindependent effects.…”

Section: Acknowledgmentsmentioning

confidence: 99%

From Boundary Data to Bound States III: Radiative Effects

Cho,

Kälin,

Porto

2021

Preprint

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We extend the boundary-to-bound (B2B) correspondence to incorporate radiative as well as conservative radiation-reaction effects. We start by deriving a map between the total change in observables due to gravitational wave emission during hyperbolic-like motion and in one period of an elliptic-like orbit, which is valid in the adiabatic expansion for non-spinning as well as aligned-spin configurations. We also discuss the inverse problem of extracting the associated fluxes from scattering data. Afterwards we demonstrate, to all orders in the Post-Minkowskian expansion, the link between the radiated energy and the ultraviolet pole in the radial action in dimensional regularization due to tail effects. This implies, as expected, that the B2B correspondence for the conservative sector remains unchanged for local-in-time radiation-reaction tail effects with generic orbits. As a side product, this allows us to read off the energy flux from the associated pole in the tail Hamiltonian. We show that the B2B map also holds for non-local-in-time terms, but only in the large-eccentricity limit. Remarkably, we find that all of the trademark logarithmic contributions to the radial action map unscathed between generic unbound and bound motion. However, unlike logarithms, other terms due to non-local effects do not transition smoothly to quasi-circular orbits. We conclude with a discussion on these non-local pieces. Several checks of the B2B dictionary are displayed using state-of-the-art knowledge in Post-Newtonian/Minkowskian theory.

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“…The use of an N = 2 supersymmetric extension to the point-particle action to encapsulate spin degrees of freedom [116,117] circumvents the need for a local co-rotating frame. Recent work on the WQFT has included the double copy [118] and applications to light bending [119]; other closely related approaches involve directly solving the classical equations of motion [120] and Wilson line operators [121].…”

mentioning

confidence: 99%

Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory

Jakobsen¹,

Mogull²

2022

Preprint

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Conservative and radiative dynamics in classical relativistic scattering and bound systems

Cited by 61 publications

References 44 publications

Scalar QED as a toy model for higher-order effects in classical gravitational scattering

Scalar QED as a toy model for higher-order effects in classical gravitational scattering

From Boundary Data to Bound States III: Radiative Effects

Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory

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