An étude of momentum space scalar amplitudes in AdS

Abstract

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.

arXiv comment26 pages, 5 figures; journal version

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• A Scattering Amplitude for Massive Particles in AdS
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• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• Analytic Studies of Fermions in the Conformal Bootstrap
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• On-shell Correlators and Color-Kinematics Duality in Curved Symmetric Spacetimes