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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2021)213 |
| _version_ | 1818404160591101952 |
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| author | Poul H. Damgaard Ludovic Planté Pierre Vanhove |
| author_facet | Poul H. Damgaard Ludovic Planté Pierre Vanhove |
| author_sort | Poul H. Damgaard |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-14T08:35:44Z |
| format | Article |
| id | doaj.art-a9bdb87893ab48f9b8568a44845942ff |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T08:35:44Z |
| publishDate | 2021-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a9bdb87893ab48f9b8568a44845942ff2022-12-21T23:09:25ZengSpringerOpenJournal of High Energy Physics1029-84792021-11-0120211112510.1007/JHEP11(2021)213On an exponential representation of the gravitational S-matrixPoul H. Damgaard0Ludovic Planté1Pierre Vanhove2Niels 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 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.https://doi.org/10.1007/JHEP11(2021)213Scattering AmplitudesClassical Theories of GravityEffective Field Theories |
| spellingShingle | Poul H. Damgaard Ludovic Planté Pierre Vanhove On an exponential representation of the gravitational S-matrix Journal of High Energy Physics Scattering Amplitudes Classical Theories of Gravity Effective Field Theories |
| title | 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_short | On an exponential representation of the gravitational S-matrix |
| title_sort | on an exponential representation of the gravitational s matrix |
| topic | Scattering Amplitudes Classical Theories of Gravity Effective Field Theories |
| url | https://doi.org/10.1007/JHEP11(2021)213 |
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