Study of momentum space scalar amplitudes in AdS spacetime
Soner Albayrak, Chandramouli Chowdhury, Savan Kharel
Abstract
In this paper, we explore momentum space approach to computing scalar amplitudes in anti--de Sitter (AdS) space. We show that the algorithm derived by Arkani-Hamed, Benincasa, and Postnikov for cosmological wave functions 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.
Topics & Concepts
Scalar (mathematics)Anti-de Sitter spacePosition and momentum spaceAmplitudeMomentum (technical analysis)PhysicsSpacetimeDe Sitter spaceSpace (punctuation)Mathematical physicsPoint (geometry)Theoretical physicsClassical mechanicsDe Sitter universeMathematicsComputer scienceQuantum mechanicsGeometryUniverseFinanceOperating systemEconomicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories