标题： 随机引力：理论与应用 显示英文标题

标题： Stochastic Gravity: Theory and Applications

摘要： 尽管半经典引力基于包含量子场应力-能量张量期望值作为源项的半经典爱因斯坦方程，随机半经典引力则基于爱因斯坦-朗之万方程，该方程除了常规源项外，还包括由于噪声核产生的源项。在第一部分中，我们通过两种方法描述这门新理论的基本原理：公理化方法和泛函方法。在第二部分中，我们描述随机引力理论的三个应用。首先，我们考虑闵可夫斯基时空中的度规扰动：我们计算线性化爱因斯坦张量和度规扰动的两点关联函数。其次，我们从随机引力的角度讨论结构形成。第三，我们讨论霍金辐射在准静态黑洞引力背景中的反作用。 显示英文摘要

摘要： Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein-Langevin equation, which has in addition sources due to the noise kernel.In the first part, we describe the fundamentals of this new theory via two approaches: the axiomatic and the functional. In the second part, we describe three applications of stochastic gravity theory. First, we consider metric perturbations in a Minkowski spacetime: we compute the two-point correlation functions for the linearized Einstein tensor and for the metric perturbations. Second, we discuss structure formation from the stochastic gravity viewpoint. Third, we discuss the backreaction of Hawking radiation in the gravitational background of a quasi-static black hole.