Kerr binary dynamics from minimal coupling and double copy
Abstract We construct a new Yang-Mills Lagrangian based on a notion of minimal coupling that incorporates classical spin effects. The construction relies on the introduction of a new covariant derivative, which we name “classical spin covariant derivative”, that is compatible with the three-point in...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2024)058 |
| _version_ | 1797209568732774400 |
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| author | Francesco Alessio |
| author_facet | Francesco Alessio |
| author_sort | Francesco Alessio |
| collection | DOAJ |
| description | Abstract We construct a new Yang-Mills Lagrangian based on a notion of minimal coupling that incorporates classical spin effects. The construction relies on the introduction of a new covariant derivative, which we name “classical spin covariant derivative”, that is compatible with the three-point interaction of the Kerr $$ \sqrt{\textrm{Kerr}} $$ solution with the gauge field. The resulting Lagrangian, besides the correct three-point coupling, predicts a unique choice for contact terms and therefore it can be used to compute higher-point amplitudes such as the Compton, unaffected by spurious poles. Using double copy techniques we use this theory to extract gravity amplitudes and observables that are relevant to describe Kerr binary dynamics to all orders in the spin. In particular, we compute the 2PM ( O $$ \mathcal{O} $$ ( G N 2 $$ {G}_N^2 $$ )) 2 → 2 elastic scattering amplitude between two classically spinning objects to all orders in the spin and use it to extract the 2PM scattering angle. |
| first_indexed | 2024-04-24T09:56:46Z |
| format | Article |
| id | doaj.art-809a507307b64df7a82125aba02237bb |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T09:56:46Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-809a507307b64df7a82125aba02237bb2024-04-14T11:06:19ZengSpringerOpenJournal of High Energy Physics1029-84792024-04-012024413610.1007/JHEP04(2024)058Kerr binary dynamics from minimal coupling and double copyFrancesco Alessio0NORDITA, KTH Royal Institute of Technology and Stockholm UniversityAbstract We construct a new Yang-Mills Lagrangian based on a notion of minimal coupling that incorporates classical spin effects. The construction relies on the introduction of a new covariant derivative, which we name “classical spin covariant derivative”, that is compatible with the three-point interaction of the Kerr $$ \sqrt{\textrm{Kerr}} $$ solution with the gauge field. The resulting Lagrangian, besides the correct three-point coupling, predicts a unique choice for contact terms and therefore it can be used to compute higher-point amplitudes such as the Compton, unaffected by spurious poles. Using double copy techniques we use this theory to extract gravity amplitudes and observables that are relevant to describe Kerr binary dynamics to all orders in the spin. In particular, we compute the 2PM ( O $$ \mathcal{O} $$ ( G N 2 $$ {G}_N^2 $$ )) 2 → 2 elastic scattering amplitude between two classically spinning objects to all orders in the spin and use it to extract the 2PM scattering angle.https://doi.org/10.1007/JHEP04(2024)058Black HolesScattering AmplitudesClassical Theories of GravityEffective Field Theories |
| spellingShingle | Francesco Alessio Kerr binary dynamics from minimal coupling and double copy Journal of High Energy Physics Black Holes Scattering Amplitudes Classical Theories of Gravity Effective Field Theories |
| title | Kerr binary dynamics from minimal coupling and double copy |
| title_full | Kerr binary dynamics from minimal coupling and double copy |
| title_fullStr | Kerr binary dynamics from minimal coupling and double copy |
| title_full_unstemmed | Kerr binary dynamics from minimal coupling and double copy |
| title_short | Kerr binary dynamics from minimal coupling and double copy |
| title_sort | kerr binary dynamics from minimal coupling and double copy |
| topic | Black Holes Scattering Amplitudes Classical Theories of Gravity Effective Field Theories |
| url | https://doi.org/10.1007/JHEP04(2024)058 |
| work_keys_str_mv | AT francescoalessio kerrbinarydynamicsfromminimalcouplinganddoublecopy |