The Effects of Near-AdS$_2$ Backreaction on Matter Fields
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912579643768832 |
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| author | Castro, Alejandra Hollander, Jildou Martinez, Pedro J. Verheijden, Evita |
| author_facet | Castro, Alejandra Hollander, Jildou Martinez, Pedro J. Verheijden, Evita |
| contents | We quantify how the two-point function of a real scalar field is affected by the distortion caused by deforming AdS$_2$ to a near-AdS$_2$ background. At tree-level, the backreaction of the geometry induces a finite-temperature correction to the correlator that arises from interactions that the background generates. For a massive field, we show that this correction is not captured by JT gravity coupled to matter: it requires a backreaction of the metric field. For a massless field, the correction is controlled solely by the dilaton and hence is model-independent. We compare our findings with correlation functions on BTZ and find perfect agreement. We use our results to quantify the corrections for a class of correlators relevant to five- and four-dimensional black holes. We discuss how these corrections would enter in a holographic description of near-AdS$_2$; we also comment on how these corrections provide a universal prediction for quasinormal modes in higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08046 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Effects of Near-AdS$_2$ Backreaction on Matter Fields Castro, Alejandra Hollander, Jildou Martinez, Pedro J. Verheijden, Evita High Energy Physics - Theory General Relativity and Quantum Cosmology We quantify how the two-point function of a real scalar field is affected by the distortion caused by deforming AdS$_2$ to a near-AdS$_2$ background. At tree-level, the backreaction of the geometry induces a finite-temperature correction to the correlator that arises from interactions that the background generates. For a massive field, we show that this correction is not captured by JT gravity coupled to matter: it requires a backreaction of the metric field. For a massless field, the correction is controlled solely by the dilaton and hence is model-independent. We compare our findings with correlation functions on BTZ and find perfect agreement. We use our results to quantify the corrections for a class of correlators relevant to five- and four-dimensional black holes. We discuss how these corrections would enter in a holographic description of near-AdS$_2$; we also comment on how these corrections provide a universal prediction for quasinormal modes in higher dimensions. |
| title | The Effects of Near-AdS$_2$ Backreaction on Matter Fields |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.08046 |