Ambiguity-free completion of the equations of motion of compact binary systems at the fourth post-Newtonian order

Ambiguity-free completion of the equations of motion of compact binary systems at the fourth post-Newtonian order
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后牛顿四阶紧致二元系统运动方程的无歧义补全

DOI:
10.1103/physrevd.97.044023
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发表时间:
2017
期刊:
影响因子:
5
通讯作者:
G. Faye
G. Faye
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Tanguy Marchand;L. Bernard;L. Blanchet;G. Faye

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我们基于调和坐标中点粒子的福克作用,提出了两个非旋转致密物体高达 4PN 阶的运动方程的第一个完整(即无歧义)推导。最后的模糊度参数是根据第一原理,通过近区场和远区场之间的匹配以及d维中4PN尾部效应的一致计算来确定的。维度正则化始终用于处理 4PN 阶出现的 IR 发散,以及由于描述致密物体的点粒子模型而导致的 UV 发散。
We present the first complete (i.e., ambiguity-free) derivation of the equations of motion of two non-spinning compact objects up to the 4PN order, based on the Fokker action of point particles in harmonic coordinates. The last ambiguity parameter is determined from first principle, by resorting to a matching between the near zone and far zone fields, and a consistent computation of the 4PN tail effect in d dimensions. Dimensional regularization is used throughout for treating IR divergences appearing at 4PN order, as well as UV divergences due to the model of point particles describing compact objects.
DOI: 10.1103/physrevlett.106.241101
发表时间: 2011-06-15
影响因子: 8.6
作者:
Ajith, P.;Hannam, M.;Seiler, J.
通讯作者: Seiler, J.
DOI: 10.1103/physrevd.89.064058
发表时间: 2014-01
期刊: Physical Review D
影响因子: 5
作者:
T. Damour;P. Jaranowski;G. Schāfer
通讯作者: T. Damour;P. Jaranowski;G. Schāfer