Reconstructing Classical Spacetimes from the S-Matrix in Twistor Space

Guevara, Alfredo

doi:10.48550/arxiv.2112.05111

Cited by 17 publications

(57 citation statements)

References 101 publications

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“…Furthermore, our methods confirmed the three-point amplitudes associated by more indirect arguments [20,133] to Taub-NUT and its spinning generalisation, Kerr-Taub-NUT. Indeed a split-signature form of Kerr-Taub-NUT and its scattering amplitude also appeared very recently in independent work [131,145].…”

Section: Discussionmentioning

confidence: 71%

“…The parameters ∆a and ∆θ correspond, respectively, to a novel type of Newman-Janis shift for the axion and dilaton, and to the standard axion-dilaton supergravity duality transformation. While this draft was in preparation, the Kerr and Kerr-Taub-NUT solutions were discussed, also in split signature, in [131,145]. The spinorial language is better fitted for displaying the double copy, but it is instructive to think about the dilaton and axion.…”

Section: Ns-ns Fields From Amplitudesmentioning

confidence: 99%

“…In this Weyl form, the classical double copy was applied to all vacuum Petrov type D solutions of the Einstein equation and has been explored also for vacuum type N solutions [125]. A twistorial interpretation of the Weyl double copy is being developed in [126][127][128][129][130][131][132].…”

Section: Introductionmentioning

confidence: 99%

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NS-NS Spacetimes from Amplitudes

Monteiro,

Nagy,

O'Connell

et al. 2021

Preprint

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Recent work has shown how on-shell three-point amplitudes in gauge theory and gravity, representing the coupling to massive particles, correspond in the classical limit to the curvature spinors of linearised solutions. This connection, made explicit via the KMOC formalism in split metric signature, turns the double copy of scattering amplitudes into the double copy of classical solutions. Here, we extend this framework to the universal massless sector of supergravity, which is the complete double copy of pure gauge theory. Our extension relies on a Riemann-Cartan curvature incorporating the dilaton and the B-field. In this setting, we can determine the most general double copy arising from the product of distinct gauge theory solutions, say a dyon and √ Kerr. This gives a double-copy interpretation to gravity solutions of the type Kerr-Taub-NUT-dilaton-axion. We also discuss the extension to heterotic gravity. Finally, we describe how this formalism for the classical double copy relates to others in the literature, namely (i) why it is an on-shell momentum space analogue of the convolutional prescription, and (ii) why a straightforward prescription in position space is possible for certain vacuum solutions.

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Section: Discussionmentioning

confidence: 71%

Section: Ns-ns Fields From Amplitudesmentioning

confidence: 99%

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NS-NS Spacetimes from Amplitudes

Monteiro,

Nagy,

O'Connell

et al. 2021

Preprint

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“…It is remarkable how much our community has learned in recent years by studying the interface between classical and quantum field theory (see references [91,122,[133][134][135][136][137][138][139][140][141][142][142][143][144][145][146][147][148][149][150] for some recent highlights). The expansion of scattering amplitudes in momentum transfer was an important topic in this paper.…”

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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“…From the perspective of scattering amplitudes, spacetimes of (2, 2) signature are very natural for the study of stationary solutions. It is exciting that this spacetime signature has also risen to prominence recently with a different motivation: celestial holography [124,133,134]. Clearly there is much more to understand in this context.…”

Section: Curvature In (22) Signaturementioning

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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Reconstructing Classical Spacetimes from the S-Matrix in Twistor Space

Cited by 17 publications

References 101 publications

NS-NS Spacetimes from Amplitudes

NS-NS Spacetimes from Amplitudes

The Uncertainty Principle and Classical Amplitudes

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

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