Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
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DOI：
10.1103/physrevd.89.064058
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发表时间：
2014-01
影响因子：
5
通讯作者：
T. Damour;P. Jaranowski;G. Schāfer
中科院分区：
文献类型：
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作者：
T. Damour;P. Jaranowski;G. Schāfer
我们在第四后牛顿（4PN）近似下完成了引力相互作用的两点质量系统的保守动力学的解析测定。这一完成是通过解决红外模糊度来实现的，该模糊度阻碍了先前的 4PN 计算 [P. Jaranowski 和 G. Sch\"afer, Phys. Rev. D 87, 081503(R) (2013)] 通过考虑很久以前发现的无限范围尾部传输时间相关性导致的通常近区扩展的 4PN 分解 [L. Blanchet 和 T. Damour, Phys. Rev. D 37, 1410 (1988)]。这导致了两个质量的庞加莱不变 4PN 精确有效作用，它将瞬时相互作用项（由通常的哈密顿量描述）与（时间对称）非局部时间相互作用混合在一起。
We complete the analytical determination, at the 4th post-Newtonian (4PN) approximation, of the conservative dynamics of gravitationally interacting two-point-mass systems. This completion is obtained by resolving the infra-red ambiguity which had blocked a previous 4PN calculation [P. Jaranowski and G. Sch\"afer, Phys. Rev. D 87, 081503(R) (2013)] by taking into account the 4PN breakdown of the usual near-zone expansion due to infinite-range tail-transported temporal correlations found long ago [L. Blanchet and T. Damour, Phys. Rev. D 37, 1410 (1988)]. This leads to a Poincar\'e-invariant 4PN-accurate effective action for two masses, which mixes instantaneous interaction terms (described by a usual Hamiltonian) with a (time-symmetric) nonlocal-in-time interaction.