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arXiv 2010.01641gr-qc
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$G$中三阶经典引力散射的辐射贡献

Radiative contribution to classical gravitational scattering at the third order in $G$

Thibault Damour

摘要:

在广义相对论的后闵可夫斯基方法中工作,我们证明了在两个粒子的大碰撞参数散射过程中,辐射对引力波发射的反应(经典)点质量通过涉及高能量的$G^3$阶的额外贡献来修改保守散射角(或无质量)对数发散相反的符号所载的第三个后闵可夫斯基的结果伯尔尼等人。{ \bf 122},201603(2019)]。得到的辐射反应校正的(经典)散射角的高能极限是有限的,并且发现与Amati、Ciafaloni和Veneziano [Nucl. Phys. B { \bf 347},550(1990)]的(量子)eikonal相位结果一致。

英文摘要:

Working within the post-Minkowskian approach to General Relativity, we prove that the radiation-reaction to the emission of gravitational waves during the large-impact-parameter scattering of two (classical) point masses modifies the conservative scattering angle by an additional contribution of order $G^3$ which involves a high-energy (or massless) logarithmic divergence of opposite sign to the one contained in the third-post-Minkowskian result of Bern et al. [Phys. Rev. Lett. {\bf 122}, 201603 (2019)]. The high-energy limit of the resulting radiation-reaction-corrected (classical) scattering angle is finite, and is found to agree with the one following from the (quantum) eikonal-phase result of Amati, Ciafaloni and Veneziano [ Nucl. Phys. B {\bf 347}, 550 (1990)].

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