On an exponential representation of the gravitational S-matrix

Abstract An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details. Computationally, rules are simple because pieces that mus...

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Autores principales:	Poul H. Damgaard, Ludovic Planté, Pierre Vanhove
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Scattering Amplitudes Classical Theories of Gravity Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/a9bdb87893ab48f9b8568a44845942ff
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spelling	oai:doaj.org-article:a9bdb87893ab48f9b8568a44845942ff2021-12-05T12:25:04ZOn an exponential representation of the gravitational S-matrix10.1007/JHEP11(2021)2131029-8479https://doaj.org/article/a9bdb87893ab48f9b8568a44845942ff2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)213https://doaj.org/toc/1029-8479Abstract An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details. Computationally, rules are simple because pieces that must be subtracted are given by combinations of unitarity cuts. Analyzing classical gravitational scattering to third Post-Minkowskian order in both maximal supergravity and Einstein gravity we find agreement with other approaches, including the contributions from radiation reaction terms. The kinematical relation for the two-body problem in isotropic coordinates follows immediately from this procedure, again with the inclusion of radiation reaction pieces up to third Post-Minkowskian order.Poul H. DamgaardLudovic PlantéPierre VanhoveSpringerOpenarticleScattering AmplitudesClassical Theories of GravityEffective Field TheoriesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-25 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Scattering Amplitudes Classical Theories of Gravity Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Scattering Amplitudes Classical Theories of Gravity Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Poul H. Damgaard Ludovic Planté Pierre Vanhove On an exponential representation of the gravitational S-matrix
description	Abstract An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details. Computationally, rules are simple because pieces that must be subtracted are given by combinations of unitarity cuts. Analyzing classical gravitational scattering to third Post-Minkowskian order in both maximal supergravity and Einstein gravity we find agreement with other approaches, including the contributions from radiation reaction terms. The kinematical relation for the two-body problem in isotropic coordinates follows immediately from this procedure, again with the inclusion of radiation reaction pieces up to third Post-Minkowskian order.
format	article
author	Poul H. Damgaard Ludovic Planté Pierre Vanhove
author_facet	Poul H. Damgaard Ludovic Planté Pierre Vanhove
author_sort	Poul H. Damgaard
title	On an exponential representation of the gravitational S-matrix
title_short	On an exponential representation of the gravitational S-matrix
title_full	On an exponential representation of the gravitational S-matrix
title_fullStr	On an exponential representation of the gravitational S-matrix
title_full_unstemmed	On an exponential representation of the gravitational S-matrix
title_sort	on an exponential representation of the gravitational s-matrix
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/a9bdb87893ab48f9b8568a44845942ff
work_keys_str_mv	AT poulhdamgaard onanexponentialrepresentationofthegravitationalsmatrix AT ludovicplante onanexponentialrepresentationofthegravitationalsmatrix AT pierrevanhove onanexponentialrepresentationofthegravitationalsmatrix
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On an exponential representation of the gravitational S-matrix

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