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A Scattering Amplitude for Massive Particles in AdS

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arxiv 2204.06462 v2 pith:4BB54ELS submitted 2022-04-13 hep-th

A Scattering Amplitude for Massive Particles in AdS

classification hep-th
keywords spacemathttrepresentations-matrixconformalflatlimitperturbation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we propose a conformally covariant momentum space representation of CFT correlation functions. We call it the AdS S-matrix. This representation has the property that it reduces to the S-matrix in the flat space limit. The flat space limit in question is taken by keeping all the particle masses fixed as the operator conformal dimensions go to infinity along with the AdS radius $\mathtt{R}$. We give Feynman-like rules to compute the AdS S-matrix in $1/ \mathtt{R}$ perturbation theory. Moreover, we relate it to the Mellin space representation of the conformal correlators in $1/ \mathtt{R}$ perturbation theory.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Imprint of the black hole interior on thermal four-point correlators

    hep-th 2025-12 conditional novelty 6.0

    Analytically continuing and smearing thermal four-point correlators turns them into flat-space scattering amplitudes at a bulk point inside the black hole.

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    hep-th 2026-07 accept novelty 5.5

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  3. Li\'enard--Wiechert fields in AdS and flat-space antipodal matching from geodesic-centered Coulombic data

    hep-th 2026-07 accept novelty 5.0

    The Coulombic Liénard–Wiechert field in AdS and flat space is obtained by recentering the static Coulomb seed on the source geodesic, and antipodal matching emerges as the flat-space limit of an exact bulk antipodal c...

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    hep-th 2025-12 conditional novelty 5.0

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