Classical observables from the exponential representation of the gravitational S-matrix

Autor: Poul H. Damgaard, Elias Roos Hansen, Ludovic Planté, Pierre Vanhove
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2023, Iss 9, Pp 1-33 (2023)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP09(2023)183
Popis: Abstract 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.
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