标题： 强引力透镜效应和黑洞准正则模：迈向半经典统一描述 显示英文标题

标题： Strong gravitational lensing and black hole quasinormal modes: Towards a semiclassical unified description

摘要： 我们在半经典框架下研究了静态且球对称黑洞的强引力透镜的偏转函数，这些黑洞具有光子球。 从Regge-Wheeler势最大值附近的首次WKB分析中，我们提取了S矩阵元素中的实相移，然后推导出相关的半经典偏转函数，该函数表现出对数发散行为。 更准确地说，利用复角动量技术，我们表明对于无质量标量场理论，Regge极点及其相关的灰体因子残差，可以从其中恢复黑洞准正则复频以及高能吸收截面的波动，自然地在半经典偏转函数的发散行为中扮演关键参数的角色。 对于极高频率，我们最终恢复了经典强偏转极限的对数部分，这在理论上澄清了准正则模与强引力透镜之间基本的联系，这一联系在近期的研究中被提出。 显示英文摘要

摘要： We examine in a semiclassical framework the deflection function of strong gravitational lensing, for static and spherically symmetric black holes, endowed with a photon sphere. From a first-order WKB analysis near the maximum of the Regge-Wheeler potential, we extract the real phase shifts from the S-matrix elements and then we derive the associated semiclassical deflection function, characterized by a logarithmic divergent behavior. More precisely, using the complex angular momentum techniques, we show that the Regge poles and the associated greybody factor residues, for a massless scalar field theory, from which one can recover the black hole quasinormal complex frequencies as well as the fluctuations of the high energy absorption cross section, play naturally the role of critical parameters in the divergent behavior of the semiclassical deflection function. For very high frequencies, we finally recover the logarithmic part of the classical strong deflection limit, which clarifies analytically the fundamental link between quasinormal modes and strong gravitational lensing, suggested in recent works.