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

A bstract 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...

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Published in:The journal of high energy physics Vol. 2023; no. 9; pp. 183 - 33
Main Authors: Damgaard, Poul H., Hansen, Elias Roos, Planté, Ludovic, Vanhove, Pierre
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 26.09.2023
Springer Nature B.V
SpringerOpen
Subjects:
Classical and Quantum Gravitation
Classical Theories of Gravity
Effective Field Theories
Elementary Particles
High energy physics
Integrals
Iterative methods
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Radiation
Regular Article - Theoretical Physics
Relativity Theory
Representations
S matrix theory
Scattering Amplitudes
Scattering angle
String Theory
Classical Theories of Gravity
Effective Field Theories
Scattering Amplitudes
ISSN:1029-8479, 1029-8479
Online Access:Get full text
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Summary:A bstract 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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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2023)183