Gravity waves from soft theorem in general dimensions
Abstract Classical limit of multiple soft graviton theorem can be used to compute the angular power spectrum of long wavelength gravitational radiation in classical scattering provided the total energy carried away by the radiation is small compared to the energies of the scatterers. We could ensure...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2018)105 |
| _version_ | 1818417707469504512 |
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| author | Alok Laddha Ashoke Sen |
| author_facet | Alok Laddha Ashoke Sen |
| author_sort | Alok Laddha |
| collection | DOAJ |
| description | Abstract Classical limit of multiple soft graviton theorem can be used to compute the angular power spectrum of long wavelength gravitational radiation in classical scattering provided the total energy carried away by the radiation is small compared to the energies of the scatterers. We could ensure this either by taking the limit in which the impact parameter is large compared to the Schwarzschild radii of the scatterers, or by taking the probe limit where one object (the probe) has mass much smaller than the other object (the scatterer). We compute the results to subsubleading order in soft momentum and test them using explicit examples involving classical scattering. Our analysis also generalizes to the case where there are multiple objects involved in the scattering and the objects exchange mass, fragment or fuse into each other during the scattering. A similar analysis can be carried out for soft photons to subleading order, reproducing standard textbook results. We also discuss the modification of soft expansion in four dimensions beyond the leading order due to infrared divergences. |
| first_indexed | 2024-12-14T12:11:04Z |
| format | Article |
| id | doaj.art-b09fb7b9d6b94d398e2a7860a00f85c2 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T12:11:04Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b09fb7b9d6b94d398e2a7860a00f85c22022-12-21T23:01:44ZengSpringerOpenJournal of High Energy Physics1029-84792018-09-012018915310.1007/JHEP09(2018)105Gravity waves from soft theorem in general dimensionsAlok Laddha0Ashoke Sen1Chennai Mathematical InstituteHarish-Chandra Research Institute, HBNIAbstract Classical limit of multiple soft graviton theorem can be used to compute the angular power spectrum of long wavelength gravitational radiation in classical scattering provided the total energy carried away by the radiation is small compared to the energies of the scatterers. We could ensure this either by taking the limit in which the impact parameter is large compared to the Schwarzschild radii of the scatterers, or by taking the probe limit where one object (the probe) has mass much smaller than the other object (the scatterer). We compute the results to subsubleading order in soft momentum and test them using explicit examples involving classical scattering. Our analysis also generalizes to the case where there are multiple objects involved in the scattering and the objects exchange mass, fragment or fuse into each other during the scattering. A similar analysis can be carried out for soft photons to subleading order, reproducing standard textbook results. We also discuss the modification of soft expansion in four dimensions beyond the leading order due to infrared divergences.http://link.springer.com/article/10.1007/JHEP09(2018)105Classical Theories of GravityScattering Amplitudes |
| spellingShingle | Alok Laddha Ashoke Sen Gravity waves from soft theorem in general dimensions Journal of High Energy Physics Classical Theories of Gravity Scattering Amplitudes |
| title | Gravity waves from soft theorem in general dimensions |
| title_full | Gravity waves from soft theorem in general dimensions |
| title_fullStr | Gravity waves from soft theorem in general dimensions |
| title_full_unstemmed | Gravity waves from soft theorem in general dimensions |
| title_short | Gravity waves from soft theorem in general dimensions |
| title_sort | gravity waves from soft theorem in general dimensions |
| topic | Classical Theories of Gravity Scattering Amplitudes |
| url | http://link.springer.com/article/10.1007/JHEP09(2018)105 |
| work_keys_str_mv | AT alokladdha gravitywavesfromsofttheoremingeneraldimensions AT ashokesen gravitywavesfromsofttheoremingeneraldimensions |