Emergence of Calabi-Yau manifolds in high-precision black hole scattering
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918021819269120 |
|---|---|
| author | Driesse, Mathias Jakobsen, Gustav Uhre Klemm, Albrecht Mogull, Gustav Nega, Christoph Plefka, Jan Sauer, Benjamin Usovitsch, Johann |
| author_facet | Driesse, Mathias Jakobsen, Gustav Uhre Klemm, Albrecht Mogull, Gustav Nega, Christoph Plefka, Jan Sauer, Benjamin Usovitsch, Johann |
| contents | Using the worldline quantum field theory formalism, we compute the radiation-reacted impulse, scattering angle, radiated energy and recoil of a classical black hole (or neutron star) scattering event at fifth post-Minkowskian and sub-leading self-force orders (5PM-1SF). This state-of-the-art four-loop computation employs advanced integration-by-parts and differential equation technology, and is considerably more challenging than the conservative 5PM-1SF counterpart. As compared with the conservative 5PM-1SF, in the radiation sector Calabi-Yau three-fold periods appear and contribute to the radiated energy and recoil observables. We give an extensive exposition of the canonicalization of the differential equations and provide details on boundary integrations, Feynman rules, and integration-by-parts strategies. Comparisons to numerical relativity are also performed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11846 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Emergence of Calabi-Yau manifolds in high-precision black hole scattering Driesse, Mathias Jakobsen, Gustav Uhre Klemm, Albrecht Mogull, Gustav Nega, Christoph Plefka, Jan Sauer, Benjamin Usovitsch, Johann High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Algebraic Geometry Using the worldline quantum field theory formalism, we compute the radiation-reacted impulse, scattering angle, radiated energy and recoil of a classical black hole (or neutron star) scattering event at fifth post-Minkowskian and sub-leading self-force orders (5PM-1SF). This state-of-the-art four-loop computation employs advanced integration-by-parts and differential equation technology, and is considerably more challenging than the conservative 5PM-1SF counterpart. As compared with the conservative 5PM-1SF, in the radiation sector Calabi-Yau three-fold periods appear and contribute to the radiated energy and recoil observables. We give an extensive exposition of the canonicalization of the differential equations and provide details on boundary integrations, Feynman rules, and integration-by-parts strategies. Comparisons to numerical relativity are also performed. |
| title | Emergence of Calabi-Yau manifolds in high-precision black hole scattering |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Algebraic Geometry |
| url | https://arxiv.org/abs/2411.11846 |