论文标题

来自有效的现场理论方法的两体系统的牛顿后的第四次后哈密顿动力学

Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach

论文作者

Blümlein, J., Maier, A., Marquard, P., Schäfer, G.

论文摘要

我们计算重力中的二进制质量系统的运动,直到第四阶段 - 纽顿秩序。我们在有效的现场理论方法中使用动量扩展,该方法基于谐波坐标中的Feynman振幅,通过应用尺寸正则化。我们将规范转换构建为ADM坐标和有效的一个身体理论(EOB),以与其他方法进行比较。我们表明,在观测值中消失的维度正则化参数$ \ VAREPSILON $中的中间极点且经典理论未重新归一化。对于我们同意文献的一系列可观察到的结果,将说明结果。

We calculate the motion of binary mass systems in gravity up to the fourth post--Newtonian order. We use momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic coordinates by applying dimensional regularization. We construct the canonical transformations to ADM coordinates and to effective one body theory (EOB) to compare with other approaches. We show that intermediate poles in the dimensional regularization parameter $\varepsilon$ vanish in the observables and the classical theory is not renormalized. The results are illustrated for a series of observables for which we agree with the literature.

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