发表机构
Instituto de Ciencias Exactas y Naturales (ICEN), Universidad Arturo Prat; Facultad de Ciencias, Universidad Arturo Prat; International Centre for Theoretical Sciences, Tata Institute of Fundamental Research（阿图罗·普拉特大学精确科学与自然学院; 阿图罗·普拉特大学理学院; 塔塔基础研究所国际理论科学中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究近极端Reissner-Nördstrom黑洞的准正规模式与潮汐响应，利用Schwarzian有效理论计算散射振幅，发现静态Love数非零且出现不可消除的对数能量依赖，表明近视界量子效应显著改变潮汐响应。
AI 中文摘要
在本文中，我们讨论了四维渐近平坦的Reissner-Nördstrom黑洞在近极端性附近的准正规模式与潮汐响应，并研究了这些可观测量在近视界处的非平凡量子修正。近极端黑洞的近视界动力学通常由与边界规范模式耦合的有效Schwarzian作用量所支配。我们利用这一描述，并将该有效理论与外部的无质量标量场耦合。基于此设置，我们计算了黑洞与标量粒子之间的$2 \ o 2$散射过程。散射振幅在复频率处的极点给出了准正规模式谱，并在领头阶恢复了近极端性附近预期的零阻尼模式。接下来，我们从散射振幅的弹性极限评估静态Love数。我们证明，与经典预期相反，静态Love数非零。在非常接近极端性时，行为是解析的，但当近极端能量变得足够大时，我们发现对能量的对数依赖。这种依赖无法通过选择重整化方案来消除。因此，近视界量子效应非平凡地改变了近极端黑洞的潮汐响应。
英文摘要
In this paper we discuss the quasinormal modes and the tidal responses of a four-dimensional asymptotically flat Reissner-Nördstrom black hole near extremality and investigate the nontrivial near-horizon quantum corrections of these observables. The near-horizon dynamics of near extremal black holes are generally governed by an effective Schwarzian action coupled to boundary gauge modes. We use this description and couple this effective theory with a massless scalar field outside. Using this setup we compute $2 \to 2$ scattering process of a black hole and a scalar particle. The poles of the scattering amplitude at complex frequencies give us the quasinormal mode spectrum and we recover the predicted zero damped modes near extremality at leading order. Next we evaluate the static Love numbers from the elastic limit of the scattering amplitude. We show that the static Love numbers are non-zero in contrast to the classical expectations. Very close to extremality, the behaviour is analytic, but as the near-extremal energy becomes sufficiently large, we find logarithmic dependence on the energy. This cannot be removed by the choice of renormalisation scheme. Thus near-horizon quantum effects non-trivially change the tidal response of near-extremal black holes.
Comments40pages, 2 appendices
