Effective field theory approach to the gravitational two-body dynamics at fourth post-Newtonian order and quintic in the Newton constant

Effective field theory approach to the gravitational two-body dynamics at fourth post-Newtonian order and quintic in the Newton constant
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后牛顿四阶和牛顿常数五次的引力二体动力学的有效场论方法

DOI:
10.1103/physrevd.95.104009
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发表时间:
2016
期刊:
影响因子:
5
通讯作者:
C. Sturm
C. Sturm
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Foffa;P. Mastrolia;R. Sturani;C. Sturm

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在广义相对论的后牛顿(PN)近似下,我们使用有效场论(EFT)框架来研究两体运动的保守动力学,在第四PN阶,在第五阶的牛顿常数。这是使用EFT方法在第四PN阶下防止计算完整拉格朗日量的缺失部分之一。我们利用EFT引力理论中的图和无质量规范理论中的两点函数之间的类比,通过标准的多回路图解技术来解决四回路振幅的计算。对于那些可以直接比较的术语,我们的结果证实了以前使用不同方法进行的研究结果。
Working within the post-Newtonian (PN) approximation to general relativity, we use the effective field theory (EFT) framework to study the conservative dynamics of the two-body motion at fourth PN order, at fifth order in the Newton constant. This is one of the missing pieces preventing the computation of the full Lagrangian at fourth PN order using EFT methods. We exploit the analogy between diagrams in the EFT gravitational theory and two-point functions in massless gauge theory, to address the calculation of four-loop amplitudes by means of standard multiloop diagrammatic techniques. For those terms which can be directly compared, our result confirms the findings of previous studies, performed using different methods.
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