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Article Dans Une Revue Journal of High Energy Physics Année : 2023

Classical Observables from the Exponential Representation of the Gravitational S-Matrix

Poul H Damgaard
  • Fonction : Auteur
Elias Roos Hansen
  • Fonction : Auteur
Ludovic Planté
  • Fonction : Auteur

Résumé

By combining the KMOC-formalism with the exponential representation of the scattering matrix we show that the two-body scattering angle is given by the corresponding matrix element of the exponential representation. This holds to all orders in the Post-Minkowskian expansion of gravity when restricted to the conservative sector. Once gravitational radiation is taken into account new terms correcting this relationship appear starting at fourth Post-Minkowskian order. A systematic expansion of the momentum kick is provided to any order, thus illustrating the iterative structure that partly recycles terms from lower orders in the Post-Minkowskian expansion. We provide explicit results for this computation to fourth Post-Minkowskian order, the first complete calculation at this order based on scattering amplitudes.

Dates et versions

hal-04161886 , version 1 (13-07-2023)

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Citer

Poul H Damgaard, Elias Roos Hansen, Ludovic Planté, Pierre Vanhove. Classical Observables from the Exponential Representation of the Gravitational S-Matrix. Journal of High Energy Physics, 2023, 09, pp.183. ⟨10.1007/JHEP09(2023)183⟩. ⟨hal-04161886⟩
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