标题： 霍金辐射来自费曼图 显示英文标题

标题： Hawking Radiation from Feynman Diagrams

摘要： 这封信的目的是阐明霍金辐射与物质落入黑洞时光的散射之间的关系。 为此，我们分析了一个由一个大质量下落粒子（由量化场描述）和辐射场组成的模型的S矩阵元素。 这些场通过电流-电流相互作用耦合，并在施瓦茨希尔德几何中传播。 只要光子的能量远小于下落粒子的质量，就可以恢复霍金辐射，因为我们的S矩阵元素完全再现了通过将下落粒子的轨迹经典处理而得到的布戈柳博夫系数。 但在短暂的一段时间后，霍金光子的“伴侣”的能量达到这个质量，通过这些相互作用产生热光子的过程停止。 讨论了这一结果的含义。 显示英文摘要

摘要： The aim of this letter is to clarify the relationships between Hawking radiation and the scattering of light by matter falling into a black hole. To this end we analyze the S-matrix elements of a model composed of a massive infalling particle (described by a quantized field) and the radiation field. These fields are coupled by current-current interactions and propagate in the Schwarzschild geometry. As long as the photons energy is much smaller than the mass of the infalling particle, one recovers Hawking radiation since our S-matrix elements identically reproduce the Bogoliubov coefficients obtained by treating the trajectory of the infalling particle classically. But after a brief period, the energy of the `partners' of Hawking photons reaches this mass and the production of thermal photons through these interactions stops. The implications of this result are discussed.