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<p>We quantify how the two-point function of a real scalar field is affected by the distortion caused by deforming AdS<sub>2</sub> to a near-AdS<sub>2</sub> 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<sub>2</sub>; we also comment on how these corrections provide a universal prediction for quasinormal modes in higher dimensions.</p>

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The effects of near-AdS2 backreaction on matter fields

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月26日

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  • Alejandra Castro,
  • Jildou Hollander,
  • Pedro J. Martinez,
  • Evita Verheijden

摘要

We quantify how the two-point function of a real scalar field is affected by the distortion caused by deforming AdS2 to a near-AdS2 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-AdS2; we also comment on how these corrections provide a universal prediction for quasinormal modes in higher dimensions.