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An \'etude of momentum space scalar amplitudes in AdS

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arxiv 2001.06777 v2 pith:P4TSEESA submitted 2020-01-19 hep-th gr-qc

Soner Albayrak , Chandramouli Chowdhury , Savan Kharel This is my paper · ORCID
classification hep-thgr-qc
keywords spaceamplitudesmomentumapproachscalaradoptedalgorithmallowing
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper, we explore momentum space approach to computing scalar amplitudes in Anti-de Sitter space. We show that the algorithm derived by Arkani-Hamed, Benincasa, and Postnikov for cosmological wavefunctions can be straightforwardly adopted for AdS transition amplitudes in momentum space, allowing one to bypass bulk point integrations. We demonstrate the utility of this approach in AdS by presenting several explicit results both at tree and loop level.

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Cited by 2 Pith papers

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

  1. Bulk-to-bulk photon propagator in AdS

    hep-th 2025-10 unverdicted novelty 6.0 of 10

    The bulk-to-bulk photon propagator in Euclidean AdS is derived in axial, Coulomb and covariant gauges, with the simplest position-space form in the Fried–Yennie gauge ξ=d/(d−2).

  2. Tree-level four-point function for a scalar field conformally coupled to Einstein's gravity on Euclidean AdS4

    hep-th 2025-01 conditional novelty 6.0 of 10

    A momentum-space formula is derived for the tree-level four-point boundary correlator of a conformally coupled scalar with graviton exchange in Euclidean AdS4.

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