Black hole scattering amplitudes via analytic small-frequency expansion and monodromy
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914956614565888 |
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| author | Aminov, Gleb Arnaudo, Paolo |
| author_facet | Aminov, Gleb Arnaudo, Paolo |
| contents | We utilize three complementary approaches to pinpoint the exact form of scattering amplitudes in Schwarzschild spacetime. First, we solve the Regge-Wheeler equation perturbatively in the small-frequency regime. We use the obtained solutions to determine the monodromy in the near-spatial infinity region, which leads to a specific partial differential equation on the elements of the scattering matrix. As a result, it can be written in terms of the elements of the infinitesimal generator of the monodromy transformation and an integration constant. This constant is further related to the Nekrasov-Shatashvili free energy through the resummation of infinitely many instantons. The quasinormal mode frequencies are also studied in the small-frequency approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06681 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Black hole scattering amplitudes via analytic small-frequency expansion and monodromy Aminov, Gleb Arnaudo, Paolo High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics We utilize three complementary approaches to pinpoint the exact form of scattering amplitudes in Schwarzschild spacetime. First, we solve the Regge-Wheeler equation perturbatively in the small-frequency regime. We use the obtained solutions to determine the monodromy in the near-spatial infinity region, which leads to a specific partial differential equation on the elements of the scattering matrix. As a result, it can be written in terms of the elements of the infinitesimal generator of the monodromy transformation and an integration constant. This constant is further related to the Nekrasov-Shatashvili free energy through the resummation of infinitely many instantons. The quasinormal mode frequencies are also studied in the small-frequency approximation. |
| title | Black hole scattering amplitudes via analytic small-frequency expansion and monodromy |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2409.06681 |