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

Jakobsen, Gustav Uhre; Mogull, Gustav

doi:10.48550/arxiv.2201.07778

Cited by 8 publications

(11 citation statements)

References 123 publications

(167 reference statements)

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“…for non-aligned spins. These equations exactly match equation ( 18) of [62] and equation ( 29) of [55] obtained with supersymmetric worldline formalism. Note that equation (4.2), (4.8) and (4.9) extend these results to all orders in spin.…”

Section: Radiative Scattering Angle and Radiated Angular Momentum To ...supporting

confidence: 76%

“…For spin 1 the authors of Ref. [62] checked that the deflection angle is not divergent at high energy because the logarithmic divergence that one finds in the conservative part is cancelled by the logarithmic divergence appearing in the radiative part in analogy with what happens for spin zero. Assuming that the same cancellation also happens for arbitrary spin, from the high energy behaviour of the real part of the two-loop eikonal given by Re 2δ rr 2 (σ, b) ∼…”

Section: Radiative Scattering Angle and Radiated Angular Momentum To ...mentioning

confidence: 98%

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Radiation reaction for spinning black-hole scattering

Alessio,

Di Vecchia

2022

Preprint

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Starting from the leading soft term of the 5-point amplitude, involving a graviton and two Kerr black holes, that factorises into the product of the elastic amplitude without the graviton and the leading soft factor, we compute the infrared divergent contribution to the imaginary part of the two-loop eikonal. Then, using analyticity and crossing symmetry, we determine the radiative contribution to the real part of the two-loop eikonal and from it the radiative part of the deflection angle for spins aligned to the orbital angular momentum, the loss of angular momentum and the zero frequency limit of the energy spectrum for any spin and for any spin orientation. For spin one we find perfect agreement with recent results obtained with the supersymmetric worldline formalism.

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Section: Radiative Scattering Angle and Radiated Angular Momentum To ...supporting

confidence: 76%

Section: Radiative Scattering Angle and Radiated Angular Momentum To ...mentioning

confidence: 98%

Radiation reaction for spinning black-hole scattering

Alessio,

Di Vecchia

2022

Preprint

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“…Researchers have developed many other approaches to conservative and radiative processes in the gravitational two-body problem. These include direct solutions of the GR equations, either perturbative [29][30][31][32] or numerical [33,34]; effective field theory [35][36][37][38][39] or worldline [40][41][42][43][44][45] methods; and use of the eikonal approximation . Approaches based on the modern amplitudes programme include reconstructing the classical potential from four-point amplitudes [67][68][69][70][71][72][73][74][75][76][77][78][79][80], matching to effective field theory [72,[81][82][83][84][85][86][87], and deducing eikonal-type kernels [88,89].…”

Section: Introductionmentioning

confidence: 99%

The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes

Kosower¹,

Monteiro²,

O’Connell³

2022

Preprint

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Scattering amplitudes have their origin in quantum field theory, but have wide-ranging applications extending to classical physics. We review a formalism to connect certain classical observables to scattering amplitudes. An advantage of this formalism is that it enables us to study implications of the double copy in classical gravity. We discuss examples of observables including the total change of a particle's momentum, and the gravitational waveform, during a scattering encounter. The double copy also allows direct access to classical solutions in gravity. We review this classical double copy starting from its linearised level, where it originates in the double copy of three-point amplitudes. The classical double copy extends elegantly to exact solutions, making a connection between scattering amplitudes and the geometric formulation of General Relativity.

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“…The corresponding case of spinning black holes is evidently of great phenomenological importance but the corresponding description in terms of the amplitude approach to general relativity is far more complex compared to the non-spinning case. We shall not be able to cover that fascinating story of spin but refer to some relevant papers here [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. There is also a parallel development to the post-Minkowskian expansion based on the world-line approach [41][42][43][44][45][46][47] that we cannot cover here, but we will make some brief comments on the relation with the velocity cut formalism in section 5.2.…”

Section: Introductionmentioning

confidence: 99%

“…We shall not be able to cover that fascinating story of spin but refer to some relevant papers here [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. There is also a parallel development to the post-Minkowskian expansion based on the world-line approach [41][42][43][44][45][46][47] that we cannot cover here, but we will make some brief comments on the relation with the velocity cut formalism in section 5.2.…”

Section: Introductionmentioning

confidence: 99%

The SAGEX Review on Scattering Amplitudes, Chapter 13: Post-Minkowskian expansion from Scattering Amplitudes

Bjerrum-Bohr,

Damgaard,

Plante

et al. 2022

Preprint

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The post-Minkowskian expansion of Einstein's general theory of relativity has received much attention in recent years due to the possibility of harnessing the computational power of modern amplitude calculations in such a classical context. In this brief review, we focus on the post-Minkowskian expansion as applied to the two-body problem in general relativity without spin, and we describe how relativistic quantum field theory can be used to greatly simplify analytical calculations based on the Einstein-Hilbert action. Subtleties related to the extraction of classical physics from such quantum mechanical calculations highlight the care which must be taken when both positive and negative powers of Planck's constant are at play. In the process of obtaining classical results in both Einstein gravity and supergravity, one learns new aspects of quantum field theory that are obscured when using units in which Planck's constant is set to unity. The scattering amplitude approach provides a self-contained framework for deriving the two-body scattering valid in all regimes of energy. There is hope that the full impact of amplitude computations in this field may significantly alter the way in which gravitational wave predictions will advance in the coming years.

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

Cited by 8 publications

References 123 publications

Radiation reaction for spinning black-hole scattering

Radiation reaction for spinning black-hole scattering

The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes

The SAGEX Review on Scattering Amplitudes, Chapter 13: Post-Minkowskian expansion from Scattering Amplitudes

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