Post-Minkowskian scattering angle in Einstein gravity
Abstract Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A corollary is that the scattering angle can be compu...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2020)038 |
| _version_ | 1819174911333105664 |
|---|---|
| author | N.E.J. Bjerrum-Bohr Andrea Cristofoli Poul H. Damgaard |
| author_facet | N.E.J. Bjerrum-Bohr Andrea Cristofoli Poul H. Damgaard |
| author_sort | N.E.J. Bjerrum-Bohr |
| collection | DOAJ |
| description | Abstract Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A corollary is that the scattering angle can be computed from the amplitude itself, without having to introduce a potential. All results are universal and provide for the case of general relativity a very simple formula for the scattering angle in terms of the classical part of the amplitude, to any order in the post-Minkowskian expansion. |
| first_indexed | 2024-12-22T20:46:29Z |
| format | Article |
| id | doaj.art-acb9915987e54e5db054e4f49a9493ca |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T20:46:29Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-acb9915987e54e5db054e4f49a9493ca2022-12-21T18:13:12ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020812110.1007/JHEP08(2020)038Post-Minkowskian scattering angle in Einstein gravityN.E.J. Bjerrum-Bohr0Andrea Cristofoli1Poul H. Damgaard2Niels Bohr International Academy and Discovery Center, The Niels Bohr Institute, University of CopenhagenNiels Bohr International Academy and Discovery Center, The Niels Bohr Institute, University of CopenhagenNiels Bohr International Academy and Discovery Center, The Niels Bohr Institute, University of CopenhagenAbstract Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A corollary is that the scattering angle can be computed from the amplitude itself, without having to introduce a potential. All results are universal and provide for the case of general relativity a very simple formula for the scattering angle in terms of the classical part of the amplitude, to any order in the post-Minkowskian expansion.http://link.springer.com/article/10.1007/JHEP08(2020)038Classical Theories of GravityScattering Amplitudes |
| spellingShingle | N.E.J. Bjerrum-Bohr Andrea Cristofoli Poul H. Damgaard Post-Minkowskian scattering angle in Einstein gravity Journal of High Energy Physics Classical Theories of Gravity Scattering Amplitudes |
| title | Post-Minkowskian scattering angle in Einstein gravity |
| title_full | Post-Minkowskian scattering angle in Einstein gravity |
| title_fullStr | Post-Minkowskian scattering angle in Einstein gravity |
| title_full_unstemmed | Post-Minkowskian scattering angle in Einstein gravity |
| title_short | Post-Minkowskian scattering angle in Einstein gravity |
| title_sort | post minkowskian scattering angle in einstein gravity |
| topic | Classical Theories of Gravity Scattering Amplitudes |
| url | http://link.springer.com/article/10.1007/JHEP08(2020)038 |
| work_keys_str_mv | AT nejbjerrumbohr postminkowskianscatteringangleineinsteingravity AT andreacristofoli postminkowskianscatteringangleineinsteingravity AT poulhdamgaard postminkowskianscatteringangleineinsteingravity |