The Radial Action from Probe Amplitudes to All Orders

Kol, Uri; O'connell, Donal; Telem, Ofri

doi:10.48550/arxiv.2109.12092

Cited by 4 publications

(4 citation statements)

References 156 publications

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“…While we focused on the eikonal approach to classical dynamics, it is worth emphasising that we could have phrased our discussion in terms of other, closely related, quantities. Recently the radial action has received particular attention in the literature [126]; this radial action is a classical limit of the usual quantum phase shifts [127], and is a close cousin of the eikonal function [128].…”

Section: Discussionmentioning

confidence: 99%

The Uncertainty Principle and Classical Amplitudes

Cristofoli¹,

Gonzo²,

Moynihan³

et al. 2021

Preprint

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We study the variance in the measurement of observables during scattering events, as computed using amplitudes. The classical regime, characterised by negligible uncertainty, emerges as a consequence of an infinite set of relationships among multileg, multiloop amplitudes in a momentum-transfer expansion. We discuss two non-trivial examples in detail: the six-point tree and the five-point one-loop amplitudes in scalar QED. We interpret these relationships in terms or a coherent exponentiation of radiative effects in the classical limit which generalises the eikonal formula, and show how to recover the impulse, including radiation reaction, from this generalised eikonal. Finally, we incorporate the physics of spin into our framework.

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Section: Discussionmentioning

confidence: 99%

The Uncertainty Principle and Classical Amplitudes

Cristofoli¹,

Gonzo²,

Moynihan³

et al. 2021

Preprint

Self Cite

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“…The dynamics of rotating BHs at higher orders in G N (Post-Minkowskian) or in v/c (post-Newtonian) -the two being related by virial theorem -is under very active investigation [71][72][73][74][75][76][77]. Classical gravity may be extracted from quantum amplitudes [78,79].…”

Section: Transformed Heun Cs Ads Kn With Rescalingsmentioning

confidence: 99%

Turning rotating D-branes and BHs inside out their photon-halo

Bianchi¹,

Russo²

2022

Preprint

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We extend our investigation on Couch-Torrence conformal inversions of BHs and D-branes in various directions. We analyse asymptotically flat rotating charged BHs in D = 4, in particular extremal rotating BHs in STU supergavity, and find invariance for special choices of the charges. Due to the dependence of the critical radii on the impact parameter(s), the relation between the scattering angle for geodesics outside the photonhalo and the in-spiralling angle for geodesics inside the photon-halo is modified by the inclusion of a boundary term. We also consider rotating BHs in D = 5 and rotating D3branes and find invariance under generalised Couch-Torrence inversions for special choices of the angular momenta. Alas we don't find any similar symmetry for smooth horizonless geometries. Moreover, relying on the surprising connection between classical BH perturbation theory and quantum Seiberg-Witten curves for N = 2 SYM theories, we study scalar wave equations in these backgrounds and identify the near super-radiant modes produced in near-extremal BH mergers. Finally, we study scalar fluctuations around Kerr-Newman BHs in AdS 4 and find stringent conditions for generalised Couch-Torrence symmetry that are relaxed in the extremal case or by allowing a rescaling of the wave function.

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“…These include direct solutions of the GR equations, either perturbative [29][30][31][32][33][34] or numerical [35,36]; effective field theory [37][38][39][40][41][42][43][44][45] or worldline [46][47][48][49][50][51][52] methods; and use of the eikonal approximation . Approaches based on the modern amplitudes programme include reconstructing the classical potential from four-point amplitudes [74][75][76][77][78][79][80][81][82][83][84][85][86][87], matching to effective field theory [79,[88][89][90][91][92][93][94], and deducing eikonaltype kernels [95,96]. Progress on scattering amplitudes has also reinvigorated the study of gravit...…”

Section: Introductionmentioning

confidence: 99%

The SAGEX review on scattering amplitudes Chapter 14: Classical gravity from scattering amplitudes

Kosower

Monteiro

O’Connell

2022

J. Phys. A: Math. Theor.

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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 Radial Action from Probe Amplitudes to All Orders

Cited by 4 publications

References 156 publications

The Uncertainty Principle and Classical Amplitudes

The Uncertainty Principle and Classical Amplitudes

Turning rotating D-branes and BHs inside out their photon-halo

The SAGEX review on scattering amplitudes Chapter 14: Classical gravity from scattering amplitudes

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