General Relativity from Scattering Amplitudes.
General Relativity from Scattering Amplitudes.
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DOI：
10.1103/physrevlett.121.171601
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发表时间：
2018-06
影响因子：
8.6
通讯作者：
N. Bjerrum-Bohr;P. Damgaard;G. Festuccia;L. Planté;P. Vanhove;P. Vanhove
中科院分区：
文献类型：
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作者：
N. Bjerrum-Bohr;P. Damgaard;G. Festuccia;L. Planté;P. Vanhove;P. Vanhove
我们概述了应用现代量子场论方法计算经典广义相对论中的可观测值的程序，通过截断多引力子，两体，大质量场之间的壳上散射振幅的经典项。因为只有与非解析部分相对应的远距离相互作用需要包括在内，统一切割为后牛顿和后闵可夫斯基展开提供了实质性的简化。我们通过计算后牛顿展开中的二阶相互作用势以及后闵可夫斯基展开中两个大质量物体的二阶散射函数来说明这种量子场论方法对经典广义相对论的影响。我们也得到了光对光引力散射的全阶精确结果。
Weoutline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multigraviton, two-body, on-shell scattering amplitudes between massive fields. Since only long-distance interactions corresponding to nonanalytic pieces need to be included, unitarity cuts provide substantial simplifications for both post-Newtonian and post-Minkowskian expansions. We illustrate this quantum field theoretic approach to classical general relativity by computing the interaction potentials to second order in the post-Newtonian expansion, as well as the scattering functions for two massive objects to second order in the post-Minkowskian expansion. We also derive an all-order exact result for gravitational light-by-light scattering.