论文标题
关于ads-schwarzschild eikonal阶段的注释
Notes on AdS-Schwarzschild eikonal phase
论文作者
论文摘要
我们考虑与广告时空中非常重的物体从非常重的物体中的重力散射相关的艾科纳尔相。该阶段的一个简单表达式从WKB近似到散射幅度，并已计算为影响参数与重粒子的Schwarzschild半径之比的所有顺序。 Eikonal相与通常的固定相关系有关的偏转角。我们考虑了固定空间极限，并观察到，对于足够小的冲击参数（或角动量），eikonal阶段会形成一个大型虚构部分。非弹性横截面正是黑洞的经典吸收横截面。我们还考虑了一个双缩放限制，其中动量与渐近广告黑洞同时变为无效。在双CFT中，该极限保留了所有领先的扭曲多应力张量操作员的贡献，对于将较高的衍生术语添加到引力lagrangian方面，这是普遍的。我们在双缩放限制中计算Eikonal阶段和相关的Lyapunov指数。
We consider the eikonal phase associated with the gravitational scattering of a highly energetic light particle off a very heavy object in AdS spacetime. A simple expression for this phase follows from the WKB approximation to the scattering amplitude and has been computed to all orders in the ratio of the impact parameter to the Schwarzschild radius of the heavy particle. The eikonal phase is related to the deflection angle by the usual stationary phase relation. We consider the flat space limit and observe that for sufficiently small impact parameters (or angular momenta) the eikonal phase develops a large imaginary part; the inelastic cross-section is exactly the classical absorption cross-section of the black hole. We also consider a double scaling limit where the momentum becomes null simultaneously with the asymptotically AdS black hole becoming very large. In the dual CFT this limit retains contributions from all leading twist multi stress tensor operators, which are universal with respect to the addition of higher derivative terms to the gravitational lagrangian. We compute the eikonal phase and the associated Lyapunov exponent in the double scaling limit.
