大永恒史瓦西黑洞近视界区域的天体几何振幅
Celestial Eikonal Amplitudes in the Near-Horizon Region
AI总结：
本研究在大永恒史瓦西黑洞近视界区域构造了无质量标量软引力子介导散射的天体共形场论，通过梅林变换得到全圈阶关联函数，揭示其普适软UV标度与IR极点性质。
摘要：
我们研究了在大永恒史瓦西黑洞近视界区域中，由软引力子介导的无质量标量散射的几何振幅的天体描述。我们的构造因此在视界上提供了一个天体共形场论，对应于一个非微扰散射过程，该过程解释了渐近平坦时空上的事件视界。从有效场论框架内计算的已知二维近视界散射振幅出发，我们首先在严格的小角度近似极限下，在分叉球周围的平坦时空框架中构造了一个四维振幅。虽然在该框架中，领先阶外部粒子的运动学类似于闵可夫斯基时空，但由于近视界散射势，几何振幅不同于平坦时空的几何振幅。我们通过梅林变换构造了一个天体关联函数，该函数提供了全圈阶结果，具有共形不变交叉比的普适领先紫外（UV）软标度行为，以及每个圈阶标度维数的红外（IR）极点。我们认为这些性质体现了近视界区域的软引力子交换，从而体现了振幅的软UV行为。
英文摘要：
We investigate the celestial description of an eikonal amplitude for the scattering of massless scalars mediated by soft gravitons in the near-horizon region of a large eternal Schwarzschild black hole. Our construction thus provides a celestial conformal field theory on the horizon corresponding to a non-perturbative scattering process that accounts for event horizons on asymptotically flat spacetimes. From the \emph{known} two-dimensional near-horizon scattering amplitude computed within the effective field theory framework, we first construct a four-dimensional amplitude in a flat spacetime frame around the bifurcation sphere strictly in a small angle approximation limit. While the kinematics of external particles in this frame at leading order are analogous to a Minkowski spacetime, the eikonal amplitude differs from those about flat spacetime due to the near-horizon scattering potential. We construct a celestial correlator following a Mellin transform that provides an all loop order result, with a universal leading ultraviolet (UV) soft scaling behavior of the conformally invariant cross-ratio, and an infrared (IR) pole for the scaling dimension at each loop order. We argue these properties manifest soft graviton exchanges in the near-horizon region and, consequently, the soft UV behavior of the amplitude.
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。
