Notes on AdS-Schwarzschild eikonal phase

Parnachev, Andrei; Sen, Kallol

doi:10.1007/jhep03(2021)289

Cited by 22 publications

(39 citation statements)

References 74 publications

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“…Mathematically, the field strength operator essentially differentiates the exponential form of the coherent state once, pulling down the parameter of the state. The structure of this computation is strongly reminiscent of eikonal methods which have also been of interest as a method of connecting classical field theory to scattering amplitudes [32,37,40,48,54,55,[129][130][131][132][133][134][135][136][137][138][139][140][141][142][143][144][145].…”

Section: Jhep05(2021)268mentioning

confidence: 99%

Classical solutions and their double copy in split signature

Monteiro

O’Connell

Veiga

et al. 2021

J. High Energ. Phys.

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The three-point amplitude is the key building block in the on-shell approach to scattering amplitudes. We show that the classical objects computed by massive three-point amplitudes in gauge theory and gravity are Newman-Penrose scalars in a split-signature spacetime, where three-point amplitudes can be defined for real kinematics. In fact, the quantum state set up by the particle is a coherent state fully determined by the three-point amplitude due to an eikonal-type exponentiation. Having identified this simplest classical solution from the perspective of scattering amplitudes, we explore the double copy of the Newman-Penrose scalars induced by the traditional double copy of amplitudes, and find that it coincides with the Weyl version of the classical double copy. We also exploit the Kerr-Schild version of the classical double copy to determine the exact spacetime metric in the gravitational case. Finally, we discuss the direct implication of these results for Lorentzian signature via analytic continuation.

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Section: Jhep05(2021)268mentioning

confidence: 99%

Classical solutions and their double copy in split signature

Monteiro

O’Connell

Veiga

et al. 2021

J. High Energ. Phys.

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“…Let us now discuss possible implications of our classical geodetic analysis for scattering amplitudes in a putative quantum theory of gravity, such as string theory. In the eikonal limit, valid for large impact parameters b > b c , the scattering amplitude of a (massless) probe off a spherically symmetric target is given by the exponential of the eikonal phase [52][53][54][55][56][57]…”

Section: Eikonal Phase and Radial Actionmentioning

confidence: 99%

Turning black-holes and D-branes inside out their photon-spheres

Bianchi,

Di Russo

2021

Preprint

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Very much as extremal Reissner-Nordstöm BHs, D3-branes and their intersecting bound-states in lower dimensions enjoy a remarkable symmetry under conformal inversions that exchange the horizon with infinity and keep the photon-sphere fixed. We explore the implications of this symmetry for the dynamics of massless and massive BPS particles. In particular we find a remarkable identity between the scattering angle of a probe impinging from infinity and the in-spiraling angle of a probe with the very same energy and angular momentum falling into the horizon from inside the photon-sphere. We argue for the identity of the radial actions and Shapiro time-delays for the two processes, when a cutoff regulator or an AdS ambient is adopted. We spell out the detailed conditions for the inversion symmetry to hold in the case of large BPS BHs in four dimensions. We address conformal inversions for other BHs and Dp-branes with photon-spheres in various dimensions with flat or AdS asymptotics. We briefly discuss the fate of the symmetry at the quantum level as well as for non spherically symmetric BHs and branes and sketch potential implications for the holographic correspondence.

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“…In this regime it was found that the phase shift of a light probe in the BTZ black hole geometry (which has µ > 1) is ill-defined for all values of the impact parameter [1], owing to the fact that all in-falling null geodesics that begin on the asymptotic boundary fall into the black hole. In contrast, asymptotically AdS black holes in higher dimensions do not suffer from such issues [1] and one generically finds regions of both elastic and inelastic scattering [38].…”

Section: Discussionmentioning

confidence: 99%

“…Finally, we note that the JHEP07(2021)021 derivation of these equations implicitly assumes that all quantities involved are real, or in other words that the scattering in the bulk is elastic. As discussed above, this is not always the case due to the inelastic part of the scattering process (such as capture of the light probe and radiative dissipation) typically being encoded in an imaginary component of the phase shift -seen for example in [38]. It would be interesting to extend (2.47) in this spirit and explore the implications.…”

Section: Discussionmentioning

confidence: 99%

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The Regge limit of AdS3 holographic correlators with heavy states: towards the black hole regime

Čeplak

Hughes

2021

J. High Energ. Phys.

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We examine the Regge limit of holographic 4-point correlation functions in AdS3× S3 involving two heavy and two light operators. In this kinematic regime such correlators can be reconstructed from the bulk phase shift accumulated by the light probe as it traverses the geometry dual to the heavy operator. We work perturbatively — but to arbitrary orders — in the ratio of the heavy operator’s conformal dimension to the dual CFT2’s central charge, thus going beyond the low order results of [1] and [2]. In doing so, we derive all-order relations between the bulk phase shift and the Regge limit OPE data of a class of heavy-light multi-trace operators exchanged in the cross-channel. Furthermore, we analyse two examples for which the relevant 4-point correlators are known explicitly to all orders: firstly the case of heavy operators dual to AdS3 conical defect geometries and secondly the case of non-trivial smooth geometries representing microstates of the two-charge D1-D5 black hole.

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Notes on AdS-Schwarzschild eikonal phase

Cited by 22 publications

References 74 publications

Classical solutions and their double copy in split signature

Classical solutions and their double copy in split signature

Turning black-holes and D-branes inside out their photon-spheres

The Regge limit of AdS3 holographic correlators with heavy states: towards the black hole regime

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