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arXiv 2509.08046hep-thgr-qc
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近AdS$_2$反作用对物质场的影响

The Effects of Near-AdS$_2$ Backreaction on Matter Fields

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

AI总结:

本文量化近AdS$_2$背景畸变对实标量场两点函数的影响,发现树级反作用产生有限温度修正,有质量场需度规反作用,无质量场由膨胀子控制,并与BTZ结果一致,为高维准正规模提供普适预测。

摘要:

我们量化了将AdS$_2$形变为近AdS$_2$背景所产生的畸变对实标量场两点函数的影响。在树级,几何的反作用诱导出相关函数的有限温度修正,该修正源于背景产生的相互作用。对于有质量场,我们证明该修正无法由耦合物质的JT引力捕获:它需要度规场的反作用。对于无质量场,修正仅由膨胀子控制,因此具有模型无关性。我们将结果与BTZ上的相关函数进行比较,发现完全一致。我们利用结果量化了与五维和四维黑洞相关的一类相关函数的修正。我们讨论了这些修正如何进入近AdS$_2$的全息描述;我们还评论了这些修正如何为高维准正规模提供普适预测。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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