Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach.
Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach.
复制标题
从有效场论方法到后闵可夫斯基三阶的二元系统的保守动力学。
DOI：
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发表时间：
2020
影响因子：
8.6
通讯作者：
Rafael A. Porto
中科院分区：
文献类型：
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作者：
Gregor Kalin;Zhengwen Liu;Rafael A. Porto
本文利用[G. Kälin和R. A.波尔图，J. High Energy Phys.11（2020）106 JHEPFG 1029 -847910.1007/JHEP 11（2020）106]以及[G. Kälin和R. A.波尔图，J. High Energy Phys. 01（2020）072 JHEPFG 1029 -847910.1007/JHEP 01（2020）072; J. High Energy Phys. 02（2020）120. JHEPFG 1029 -847910.1007/JHEP 02（2020）120]。主要成分是散射角，我们通过费曼图计算为O（G^{3}）。适应EFT框架强大的工具，从振幅程序，我们展示了如何相关的（主）积分引导到所有阶的速度通过微分方程。值得注意的是，边界条件可以减少到相同的积分，出现在EFT与后牛顿源。为了便于比较，我们重新构造了散射振幅的哈密顿量和经典极限。我们的结果与伯尔尼等人的结果完全一致。[Phys. Rev. Lett. 122，201603（2019）PRLTAO0031-900710.1103/PhysRevLett.122.201603; J. High Energy Phys. 10（2019）206JHEPFG 1029 -847910.1007/JHEP 10（2019）206]。
We derive the conservative dynamics of nonspinning binaries to third post-Minkowskian order, using the effective field theory (EFT) approach introduced in [G. Kälin and R. A. Porto, J. High Energy Phys. 11 (2020) 106JHEPFG1029-847910.1007/JHEP11(2020)106] together with the boundary-to-bound dictionary developed in [G. Kälin and R. A. Porto, J. High Energy Phys. 01 (2020) 072JHEPFG1029-847910.1007/JHEP01(2020)072; J. High Energy Phys. 02 (2020) 120.JHEPFG1029-847910.1007/JHEP02(2020)120]. The main ingredient is the scattering angle, which we compute to O(G^{3}) via Feynman diagrams. Adapting to the EFT framework powerful tools from the amplitudes program, we show how the associated (master) integrals are bootstrapped to all orders in velocities via differential equations. Remarkably, the boundary conditions can be reduced to the same integrals that appear in the EFT with post-Newtonian sources. For the sake of comparison, we reconstruct the Hamiltonian and the classical limit of the scattering amplitude. Our results are in perfect agreement with those in Bern et al. [Phys. Rev. Lett. 122, 201603 (2019)PRLTAO0031-900710.1103/PhysRevLett.122.201603; J. High Energy Phys. 10 (2019) 206JHEPFG1029-847910.1007/JHEP10(2019)206].