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arXiv 2201.07778hep-thgr-qc
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用世界线量子场论研究三阶后闵可夫斯基自旋体的守恒和辐射动力学

Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory

Gustav Uhre Jakobsen, Gustav Mogull

摘要:

利用自旋世界线量子场论方法,我们计算了两个任意取向的自旋质量体(黑洞或中子星)在弱引力背景下散射的二次自旋动量脉冲$Δp_i^μ$和自旋反冲$Δa_i^μ$,最高可达三阶后闵可夫斯基(PM)($G^3$).在势区进行双环费曼积分,得到保守的结果。对于自旋对齐的轨道角动量,我们发现一个保守的散射角,是完全符合国家的最先进的后牛顿的结果。使用Plefka,Steinhoff和本作者先前获得的2PM辐射角动量,我们将角度推广到包括辐射反应效应,在这种情况下,它避免了高能量极限的发散。

英文摘要:

Using the spinning worldline quantum field theory formalism we calculate the quadratic-in-spin momentum impulse $Δp_i^μ$ and spin kick $Δa_i^μ$ from a scattering of two arbitrarily oriented spinning massive bodies (black holes or neutron stars) in a weak gravitational background up to third post-Minkowskian (PM) order ($G^3$). Two-loop Feynman integrals are performed in the potential region, yielding conservative results. For spins aligned to the orbital angular momentum we find a conservative scattering angle that is fully consistent with state-of-the-art post-Newtonian results. Using the 2PM radiated angular momentum previously obtained by Plefka, Steinhoff and the present authors we generalize the angle to include radiation-reaction effects, in which case it avoids divergences in the high-energy limit.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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