Classical observables from the exponential representation of the gravitational S-matrix
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2023)183 |
| _version_ | 1797371200800817152 |
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| author | Poul H. Damgaard Elias Roos Hansen Ludovic Planté Pierre Vanhove |
| author_facet | Poul H. Damgaard Elias Roos Hansen Ludovic Planté Pierre Vanhove |
| author_sort | Poul H. Damgaard |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T18:16:28Z |
| format | Article |
| id | doaj.art-41c69199293840e3bc8ca94f2260551f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:16:28Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-41c69199293840e3bc8ca94f2260551f2023-12-31T12:06:49ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023913310.1007/JHEP09(2023)183Classical observables from the exponential representation of the gravitational S-matrixPoul H. Damgaard0Elias Roos Hansen1Ludovic Planté2Pierre Vanhove3Niels Bohr International Academy, Niels Bohr Institute, University of CopenhagenNiels Bohr International Academy, Niels Bohr Institute, University of CopenhagenNiels Bohr International Academy, Niels Bohr Institute, University of CopenhagenInstitut de Physique Theorique, Université Paris-Saclay, CEA, CNRSAbstract 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.https://doi.org/10.1007/JHEP09(2023)183Classical Theories of GravityScattering AmplitudesEffective Field Theories |
| spellingShingle | 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 Classical Theories of Gravity Scattering Amplitudes Effective Field Theories |
| title | Classical observables from the exponential representation of the gravitational S-matrix |
| title_full | Classical observables from the exponential representation of the gravitational S-matrix |
| title_fullStr | Classical observables from the exponential representation of the gravitational S-matrix |
| title_full_unstemmed | Classical observables from the exponential representation of the gravitational S-matrix |
| title_short | Classical observables from the exponential representation of the gravitational S-matrix |
| title_sort | classical observables from the exponential representation of the gravitational s matrix |
| topic | Classical Theories of Gravity Scattering Amplitudes Effective Field Theories |
| url | https://doi.org/10.1007/JHEP09(2023)183 |
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