Complete Hamiltonian for spinning binary systems at first post-Minkowskian order
Abstract Building upon recent progress in applying on-shell amplitude techniques to classical observables in general relativity, we propose a closed-form formula for the conservative Hamiltonian of a spinning binary system at the 1st post-Minkowskian (1PM) order. It is applicable for general compact...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2020)105 |
| _version_ | 1819020332942491648 |
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| author | Ming-Zhi Chung Yu-tin Huang Jung-Wook Kim Sangmin Lee |
| author_facet | Ming-Zhi Chung Yu-tin Huang Jung-Wook Kim Sangmin Lee |
| author_sort | Ming-Zhi Chung |
| collection | DOAJ |
| description | Abstract Building upon recent progress in applying on-shell amplitude techniques to classical observables in general relativity, we propose a closed-form formula for the conservative Hamiltonian of a spinning binary system at the 1st post-Minkowskian (1PM) order. It is applicable for general compact spinning bodies with arbitrary spin multipole moments. The formula is linear in gravitational constant by definition, but exact to all orders in momentum and spin expansions. At each spin order, our formula implies that the spin-dependence and momentum dependence factorize almost completely. We expand our formula in momentum and compare the terms with 1PM parts of the post-Newtonian computations in the literature. Up to canonical transformations, our results agree perfectly with all previous ones. We also compare our formula for black hole to that derived from a spinning test-body near a Kerr black hole via the effective one-body mapping, and find perfect agreement. |
| first_indexed | 2024-12-21T03:49:32Z |
| format | Article |
| id | doaj.art-9f7cb28361a848d998ddf9657c48a9d9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T03:49:32Z |
| publishDate | 2020-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9f7cb28361a848d998ddf9657c48a9d92022-12-21T19:17:00ZengSpringerOpenJournal of High Energy Physics1029-84792020-05-012020513010.1007/JHEP05(2020)105Complete Hamiltonian for spinning binary systems at first post-Minkowskian orderMing-Zhi Chung0Yu-tin Huang1Jung-Wook Kim2Sangmin Lee3Department of Physics and Astronomy, National Taiwan UniversityDepartment of Physics and Astronomy, National Taiwan UniversityDepartment of Physics and Astronomy, Seoul National UniversityDepartment of Physics and Astronomy, Seoul National UniversityAbstract Building upon recent progress in applying on-shell amplitude techniques to classical observables in general relativity, we propose a closed-form formula for the conservative Hamiltonian of a spinning binary system at the 1st post-Minkowskian (1PM) order. It is applicable for general compact spinning bodies with arbitrary spin multipole moments. The formula is linear in gravitational constant by definition, but exact to all orders in momentum and spin expansions. At each spin order, our formula implies that the spin-dependence and momentum dependence factorize almost completely. We expand our formula in momentum and compare the terms with 1PM parts of the post-Newtonian computations in the literature. Up to canonical transformations, our results agree perfectly with all previous ones. We also compare our formula for black hole to that derived from a spinning test-body near a Kerr black hole via the effective one-body mapping, and find perfect agreement.http://link.springer.com/article/10.1007/JHEP05(2020)105Black HolesScattering Amplitudes |
| spellingShingle | Ming-Zhi Chung Yu-tin Huang Jung-Wook Kim Sangmin Lee Complete Hamiltonian for spinning binary systems at first post-Minkowskian order Journal of High Energy Physics Black Holes Scattering Amplitudes |
| title | Complete Hamiltonian for spinning binary systems at first post-Minkowskian order |
| title_full | Complete Hamiltonian for spinning binary systems at first post-Minkowskian order |
| title_fullStr | Complete Hamiltonian for spinning binary systems at first post-Minkowskian order |
| title_full_unstemmed | Complete Hamiltonian for spinning binary systems at first post-Minkowskian order |
| title_short | Complete Hamiltonian for spinning binary systems at first post-Minkowskian order |
| title_sort | complete hamiltonian for spinning binary systems at first post minkowskian order |
| topic | Black Holes Scattering Amplitudes |
| url | http://link.springer.com/article/10.1007/JHEP05(2020)105 |
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