用输运方程方法计算格林函数和自作用力
A Transport Equation Approach to Green Functions and Self-force Calculations
摘要：
在最近的一项工作中，我们提出了第一个应用的泊松-怀斯曼-安德森方法的“匹配膨胀”计算的自作用力作用在一个点粒子运动在弯曲的时空。该方法采用了两个扩展的格林函数分别是有效的“准本地”和“遥远的过去”制度，并可以匹配在一起的正常附近。本文介绍了匹配展开法，并讨论了准局域区格林函数的输运方程计算方法。这些方法允许在正常邻域内对格林函数进行评估，并且也与从辐射反应到弯曲时空中的量子场论和量子引力的广泛问题有关。
英文摘要：
In a recent work, we presented the first application of the Poisson-Wiseman-Anderson method of `matched expansions' to compute the self-force acting on a point particle moving in a curved spacetime. The method employs two expansions for the Green function which are respectively valid in the `quasilocal' and `distant past' regimes, and which may be matched together within the normal neighbourhood. In this article, we introduce the method of matched expansions and discuss transport equation methods for the calculation of the Green function in the quasilocal region. These methods allow the Green function to be evaluated throughout the normal neighborhood and are also relevant to a broad range of problems from radiation reaction to quantum field theory in curved spacetime and quantum gravity.
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