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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.02372 |
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| _version_ | 1866914257953619968 |
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| author | Combaluzier--Szteinsznaider, Oscar Glazer, Daniel Joyce, Austin Rodriguez, Maria J. Santoni, Luca |
| author_facet | Combaluzier--Szteinsznaider, Oscar Glazer, Daniel Joyce, Austin Rodriguez, Maria J. Santoni, Luca |
| contents | Dynamical Love numbers capture the conservative response of an object to a time-dependent external tidal gravitational field. We compute the dynamical Love numbers of Schwarzschild black holes in general relativity within a point-particle effective field theory framework. In addition to the known logarithmic running, we compute the finite scheme-dependent contributions to the Love number couplings. We do this by matching the renormalized one-point function in the effective theory to the classical field profile computed in general relativity. On the general relativity side, we solve the Regge-Wheeler and Zerilli equations perturbatively in a small frequency expansion. In order to match on the effective field theory side we include gravitational interactions using the Born series and employ dimensional regularization to obtain a renormalized field profile. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02372 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical Tidal Response of Schwarzschild Black Holes Combaluzier--Szteinsznaider, Oscar Glazer, Daniel Joyce, Austin Rodriguez, Maria J. Santoni, Luca General Relativity and Quantum Cosmology Dynamical Love numbers capture the conservative response of an object to a time-dependent external tidal gravitational field. We compute the dynamical Love numbers of Schwarzschild black holes in general relativity within a point-particle effective field theory framework. In addition to the known logarithmic running, we compute the finite scheme-dependent contributions to the Love number couplings. We do this by matching the renormalized one-point function in the effective theory to the classical field profile computed in general relativity. On the general relativity side, we solve the Regge-Wheeler and Zerilli equations perturbatively in a small frequency expansion. In order to match on the effective field theory side we include gravitational interactions using the Born series and employ dimensional regularization to obtain a renormalized field profile. |
| title | Dynamical Tidal Response of Schwarzschild Black Holes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.02372 |